Solving Logarithmic Equations
ฝัง
- เผยแพร่เมื่อ 30 ก.ย. 2024
- This algebra video tutorial explains how to solve logarithmic equations with logs on both sides. It explains how to convert from logarithmic form to exponential form using basic properties of logarithms. This video include examples and practice problems with natural logarithms as well.
Full-Length Math & Science Videos:
/ collections
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Logarithms - The Easy Way!
• Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
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Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
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Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
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Final Exams and Video Playlists:
www.video-tuto...
Logarithmic Formula Sheet:
bit.ly/4fEwqv0
Logarithmic Formula Sheet: bit.ly/4fEwqv0
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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nice
Kumawa😊
School: that would be 8 years 6 and 4 extra this guy on youtube takes 25 minutes of your time
Please can u help me now ..I need a help .I have question
I just learned in 25 minutes what I have been struggling with for 2 years
LOL same here
You was sleeping in class 😂😂
u should whatch this 2 years ago.
Same omg
@@khosta6690 were*
Didn't even realize it was half an hour- all I know is I officially understand how to do these equations. Bless this man
Right its so easy to watch. Feels like 5 mins
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Bless him in abundance for sure
It's the same with making these videos. You're just recording and all of a sudden you have 30 minutes worth of exercises! :)
Good job!!!!
Who is watching this in 2024😮😊😢
Ke nna ur swine
🙋🏽♀️
☝️
Got an exam tomorrow wish me luck
Mee
Stop reading the comments, keep watching the video, you need to pass your test.
you did the opposite for me
Not rlly im just learning logarithms for fun
(to flex)
Wow let's see each other in College than, I mean if you can make the AAA results
In the first five minutes you taught me about 1 week worth of what they try to teach me at school.
Jose Gonzalez r u applied
Nayr hes too advanced for you to understand
Hax Gaming lmao I’m not sure if you are joking but in average classes you don’t spend a week on this material
Im being sarcastic
He just shorthand the bullshit
you sir are saving me so much on my next algebra two test, you are my favorite tutor
Jaymations how old are you
@@waleedhuman6722 suspect
Feel free to donate
Same here..he is my favorite tutor. Since i watched his video..now my numerical ability is improving..million of thx to sir jg...👏👏👏
Aglebra 2 my g? The hell they teaching y’all lol we do this in college too
I think my IQ just went up 10 points
Same I'm watching this 7 hours before my exam
@@thesunniest182436 hours for me, I hope it went well!!! 🤞🤞🤞
My finals for math are tmrw and from what I've heard 90% of it is on logs. I've been struggling with logs for the past 2 months and this video literally taught me more than 2 months of math. Thank you good sir and keep doing what you're doing.
bro same I have my pre calc final tomorrow and I thought I would review some older material lol
Pov me sleeping in class and having study hall right before the class and a test lemme look up this TH-cam video it’ll teach me the entire unit in 20 min
Oi mate how'd they go?
this is me rn
my teacher sucks ass so here I am 🙃
Where were you 2 hours ago when I was trying to help my daughter. You sir are a rock star! Thank you for the great tutorial
Mark g good father!
Wholesome
You must be an awesome dad!!
I wish I could say I was a great father. But being a parent is by far the hardest challenge you can be faced with. So saying that before knowing the outcome is just a guess. I try my nest to help them, motivate them, and guide them, while leaving quite a bit of room for them to maneuver. So it’s hard to guess the outcome 🥴
But so far so good👍
@@markg7963 recognizing that you're flawed but continuing to persevere despite that is a big sign that ur doing going great so far! with this pandemic, online learning is difficult so i'm sure ur daughter truly appreciates your help :)
I am currently a rising 3rd year at UCLA studying psychobio. I remember struggling on 'logs' through middle/high school, and even in college. Currently taking a physics class and wanted to finally master logs. It took me over 1/2 a decade for this to be well explained. God bless you sir.
man behind the sleeping
UCLA is my dream college 😲
Me too! LMAOOOOOOOOOOOOOOO XDLOL
I can't believe some people are actually disliking this video
they're prolly just pisses from homework lol
Teachers definitely
not anymore lol
man u are the best . i dont know where i wouldve have been if it werent of u
long live organic chemistry tutor
sorry, dont struggle next time.....
just send a request for assistance
Long live organic chemistry tutor
I still don't understand what logarithms do. Can't you just write 2^x = 16 instead of log2(16)=x? In fact, wouldn't that just make it harder since you need to convert it to exponential form when solving anyways. I don't think logs help much when solving for an equation where the x is on both sides to the equation. Can someone explain please?
funny enough, that relationship there is exactly why they’re needed. because they’re opposites, you can both learn from deducing information from the opposite half (knowing 2³ = 8, so log base 2 of 8 is 3)
logs are basically asking, what would the exponent be to get this value? and then exponents are the ones we love, but sometimes can’t do what we want with them. so then we convert it to the equivalent opposite, in log form! and then can use the laws of logarithms and logarithmic properties to manipulate it so that it’s in a form we can effectively work with since we got it into a better form using this relationship but also other mathematics processes and concepts! A little late, LOL
You can easily solve square roots if u learn the method
to help you bacK I WILL NOT SKIP ADS
i missed a week of school and was never taught how to do logarithms. i was required to take a test over them 2 days after i got back. this video is the only reason i passed. your voice is so calm and you explained everything in a way that i was able to understand. thank you so much!!
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@@beactive6834 can’t hear a damn word you say
Lucky I went through the same incident but I was sick for the past 2 weeks then when I came back it was test weeks I failed math I got 3/15 but I passed most of the other classes
Same thing just happened to me this guy saved my grade as well
I HONESTLY CAN'T THANK YOU ENOUGH !!!!
I've been watching all your videos and I have been practicing so much that I am passing my exams. I don't need to pay for a private tutor and I thank you for that.
All Love From Canada xoxox
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Yeah😊😊
pffft canada
I'm overwhelmed by the 10 examples I've done by the time he gets to 7 minutes
That’s how you learn
Are you still overwhelmed? Lol
Also the beauty of youtube is you can always pause or slow the video down, I get overwhelmed when a lot gets thrown at me at once and it’s really helpful
“Let’s try one more example”
*see there’s still 25 mins left* 🤨
👁️👄👁️
great one though
every math teacher ever
I got through like 10 examples and I checked the time and there was 25 mins left
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Everytime a harder problem appears, I have to laugh because it's like saying, let me see how ridiculous I can get with this.
*i wanna see the guy behind this video*
Your voice is so calm it made me fall asleep 3 times
Facts he needs to be more energetic
I honestly don't care how energetic he is. I'd take a boring teacher who goes in depth and is clear about the topic any day over a teacher trying to excite students but going over little of the task.
Imagine just waking up from this video and seeing this comment...
Same
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my man just single-handedly helps millions of student. God bless you Sir
Literally learn more from you in about 30 minutes than I do in 2 weeks of my class!
16:11--> this is the last example for this video
Me: why is this last example 11 minutes long
"are the videos from 2006 really helping?". yes, yes they are.
😂😂😂 you ain’t using premium 😅
If you're struggling with this as much as I did please write the steps to them and add in conditional statements under each step. For example step 1 for me is divided into 3 steps itself, simplify, combine, and isolate, in terms of log expression. Under simplify I have statements such as: May need to use power property, logs may cancel if bases are same, may need to multiply out the denominator, ect. Hope it helps : ) GL
16:10 LIAR!
lol
Lol
He has complied his videos on logarithmic functions into this video.
In that video that might have been the last problem he solved.
I thought there is something wrong in his samples. I am totally frick out after I got there. Lmao
MR. Organic Chemistry Tutor, thank you for Solving and explaining Logarithmic Equations to precalculus students worldwide. These videos are improving students grades and confidence every day.
Finals tommorow, wish me luck fellas
I love you so much sir, you are the only reason that I am not being kicked out of university!!!! Thank you!
Watching this at 1.5X speed 1 hour before my dual enrollment precalc/algebra exam.
Did you get in
answers
I hope you passed the entrance exam.
@@rentsuso4671 Thanks, I did end up passing my exam just fine :)
@@wormfuneral nice, keep the good work.
THANK YOU BROTHER!! Much love and respect. You don’t sound so boring like these old online class videos and the content is just great !
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omg... i’m preparing last minute for my test tmr and i didn’t know i could learn a weeks worth of material in half an hour... bless ur soul !!
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I love this channel it’s honestly the only thing keeping my math grade up 💀
I aced a college exam on logs with this video
How do you do this??
you make maths so simple.
For weeks I couldn't figure this out and in 25 mins you turn everything around for me.
I'm stucked on your channel until I graduate.
Thank you ❤️🎉
The second example helped me understand what I was struggling on and my teacher could not even give me an answer this simple for it
I am literally in fifth grade and understand 19 minutes of the whole video.
This is the last problem:
*Proceeds to show 25 more*
Extremely helpful, about to take my math placement exam for UC Davis and wanted to touch up on logs!
th-cam.com/video/2gulFfRu_UA/w-d-xo.html
Haven't even reached a minute and already blown away by how much you've taught me in a minute VS. 3 weeks of my teacher.
I'm in algebra 2 rn as well, it's a fun ride lol
@@chefalex1753 I'm in Precalc with Calc
Hmmm... you're doing well sir. Still struggling with it and sweating profusely😓 phew!
I have a test on this tomorrow. this helped me understand EVERYTHING in just half an hour.
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Wow
This just saved me from my professor's Math final... THANK YOU
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00:01 The video focuses on solving basic logarithmic equations by converting them to exponential form and finding the value of x. Various examples are provided to demonstrate the process of solving logarithmic equations.
-Converting logarithmic equations to exponential form is a key step in solving them accurately. This process helps in simplifying the equations and finding the unknown variable x.
-The video demonstrates different scenarios of logarithmic equations with varying bases and exponents, showcasing the importance of understanding the fundamental principles of logarithms for problem-solving.
05:04 Solving logarithmic equations involves manipulating the equation to isolate the variable x. By applying properties of logarithms and algebraic techniques, the value of x can be determined in various examples.
-Solving quadratic equations derived from logarithmic expressions. By factoring and finding roots, the values of x can be determined in different scenarios.
-Using properties of logarithms to simplify equations and isolate x. This technique involves combining logs and applying algebraic rules to solve for x.
10:09 Solving logarithmic equations involves combining and simplifying expressions using properties of logarithms. Checking for extraneous solutions is crucial to ensure the validity of the final answers.
-Factoring and solving logarithmic equations. Understanding how to factor and solve logarithmic equations by applying mathematical properties and simplifying expressions.
-Checking for extraneous solutions. Demonstrating the importance of verifying solutions by checking for extraneous solutions to ensure the accuracy of the final answers.
-Combining logarithmic expressions. Explaining how to combine logarithmic expressions using properties of logarithms, such as addition and subtraction, to simplify and solve equations.
15:12 Solving logarithmic equations involves converting logs to exponential form, simplifying, and finding the value of x. Understanding the properties of logarithms is crucial for solving such equations effectively.
-Cross multiplying and simplifying expressions in logarithmic equations. It's essential to understand how to manipulate equations involving logs for accurate solutions.
-Converting logarithmic equations to exponential form. This conversion helps in solving equations with logs by transforming them into more manageable forms.
-Exploring different scenarios in logarithmic equations. Understanding the implications of positive and negative solutions in log equations is crucial for accurate problem-solving.
20:15 Solving logarithmic equations involves setting each factor equal to zero and carefully considering the base of the logarithm. By checking solutions, we can verify the correctness of our answers.
-Understanding the process of factoring and setting factors equal to zero in logarithmic equations.
-Exploring the significance of the base of logarithms in solving equations and finding solutions.
-Verifying solutions by substituting them back into the original equation and ensuring correctness.
Wow 😲 you're great teacher No compare anyone with you
OUR LORD AND SAVIOR YOU SAVE ME FROM MY MID YEAR CHECKPOINT I GIVE YOU
Thank you. In the example ending at 9:02, you neglected to mention that one of the 2 answers, -5, renders the equation undefined, thus eliminating it.
Very good. It gives me simple explanation which I can understand very fast.
I Can't stress how many times you've saved me in Math. I want to let you know that all your videos and explanations are appreciated. Thank you.
Thanks bro i wasnt able to solve any logarithm questions . thanks to u now im able to solve all of the questions
This man taught me in 25 minutes that which my Additional Mathematics sir couldn’t teach me in 5 months❤️
Why you wrote✍️ something that someone write.Write something new please
@@zohirakholiqova6085 bruh let the man comment 💀💀
comments are for expressing opinions not trying to be original
Your videos are awesome. Take my advice. Start a patreon and update all your videos to add that message on the end. You'll make a killing.
Good examples. Probably should have introduced checking from the start, at least for the multiple possibilities problems.
this video taught me 3-5 hours worth of textbook studying in less than an hour
Dudes carrying me through my AMLs 😢
you've taught my old self things that I struggled with in school 30 years ago. You're a hero. Thank you so much.
(sees ad for 100th time) "What? Still searching youtube for math help? Are the videos from 2006 really hel-"
Arnold Schwarznegger: "SHUUUUUUT UPPPPPPPPPPP!!!!!!!!"
You do a lot of examples, but could you first start by explaining the process in which to start these problems?
You need to know: logarithm laws/rules, fractions, quadraric equations, linear equations, manipulation of algebraic expressions, practice plugging values
Evet Türkçe dinleyip anlamayan ve buralara bile gelen kardeşim, sen de hoşgeldin :D
Saved my life, homie. I know this is a very generic "didn't understand teacher, night before exam" comment, but it honestly saved me a whole lot of studying time, and I might actually be able to sleep nicely tonight. Thanks for this, man.
thanks sir for your teaching your type of teaching is different than college It is easy & ofcourse iam learning so fast
I am hearing some very nice, positive comments on this thread about this instruction. Heueristic instruction seems to really work for people. What really makes this instruction mode "heueristic" is probably the ability for the student to 1) choose what they want to learn, and 2) be able to pause the video(s) if they come to a point they need to think about more.
18:17 log x rised to the power of log x, we can move it in front.. really? why you dont explain that? lets say 5 to the power of 2 we cant just move the 2 in front of the 5 and say its equal to 10, its 5^2=25 its not (2)(5)=10... just exaplin why thats all! am a fuking idiot i know but am so frustrated with fucking math :/
I am in fifth grade but still do this
I love math same as my friend
Thanks
BTW love your vids and understand everything
@5:08 correct me if I'm wrong but there is only 1 correct soloution to that quadratic equation for x as log cant be 0 or a negative number meaning that -8 isnt a correct soloution as plugging that number back into the original equation doesnt give you 49.
in here 2022 where my school is closed due to pandemic, your the only math teacher i can rely on, tysm
13:17 i would like to file a complaint, why are we subtracting 27 and not 7?
how do you actually determine who gets used in subtracting and who doesnt
like Log3(5x+1) =4
3^4=5x+1
81=5x+1
-1 -1
but then in the clip i put there up top you usedthe left side to subtract, I'm confused
Since you’re trying to break it down into a quadratic equation, you need to subtract the 27 from the 7 so the equation is equal to zero. That way you can solve for the zeroes in the equation. If you subtracted the 7 from both sides instead you would have a 20 on the other side, meaning you’d have to do an extra step by subtracting 20 from either side instead. A standard quadratic equation is 0 = x^2 + bx + c.
You can’t continue to solve the equation until it’s in that form with the equation equaling zero.
Thanks so much, very helpful!
I might humbly add that in 9:02 -5 is an extraneous solution.
I take Algebra 2 online and the instruction is terrible. I've always been a straight a student but I've failed every test and quiz and assignment with logarithms so far because I just didn't *get it* and then you teach me in 25 minutes what I've been struggling with for literally 2 months
Honestly best video on solving logs. My professor tends to over complicate and go too fast for my learning abilities
18:19 I can't understand this part please someone explain
Utterly amazing. I never understood logs until now. Thank you!
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Studying for my fundamentals engineering exam wish me luck 😅😢❤
OMG I HAVE A TEST TOMORROW AND IM GONNA ACE IT NOW ILYSM
Thank youu!
It's my annual exam on 19th May, and I really hope that I score good.
im in fuckingb debt :)
I am going to makeout with a rifle soon. :3
Relatable reply section
My brother thank you so much bro honestly you made everything so clear ❤ you are the best
What are the real life of log and why do we need log
Logarithms and exponential functions are used for many things in the real world such as investment increases, carbon dating. Logarithmic equations are also used for an earthquake’s Richter scale.
I usually don't comment but today i got to guy you are the best this is exactly what i needed amd what i was trying to understand better
everything is perfect except at 5:09, x is only equal to 5, not -8 too! if you plug that in you get a domain error
but -8 works for me (I did it on paper:
-8*-8+3*-8=40
64+3*-8=40
64+ -24=40
64-24=40
40=40
Logs can not be negative. He explains that in the questions after
Thank you for allowing thousands to pass their trig class!
Thank you so much! This topic has been so confusing for me.
I love your videos on Math you've saved me a lot of time and basically laid my logarithm foundation because when the teacher taught it, I heard gibberish.Thank you so much and God bless you
Currently working on my calculus midterm exam at home and was struggling on remembering this! Thank you so much for easily making me remember what I have to do! I hear a lot of good things about this channel so I think I’m going to use your videos on my exam
ما توقعت في لغة عربية☺️🙌
I will say this over and over again, PLEASE SIR, DON'T STOP MAKING SUCH WONDERFUL VIDEOS!
At 19:30 , log(x)^(log(x)) = 49 - if x = 10^7, then log(x) = log (10^7), which equals 7. while 7*7= 49, 7^7 = 823,543??
EXACTLY, WHY???
@@valentinleguizamon9957 3 years later now I checked. 7 to the power of 7 (7^7) still doesn't equal 49. Among other discrepencies.
@@ScientistPrepper yeah that's the point I got lost, but because it was wrong! Right?
@@valentinleguizamon9957. Correct. Perhaps the author intended for the RHS value to be 10^49 in stead of 49. No parentheses so who knows. So this one lesson should be ignored.
was never taught logs in high school and as a third year mechanical engineering student you have helped greatly!
💀💀💀💀💀bro what
@@Itachiuchiha-gq9br you probably here for the same help to😂
In 9:04 , can i use the quadratic formula? then x will be just equal to +/- 1?
Thank you, thank you, thank you. Your calm and even toned voice makes these videos even better because all this calculus and algebra stresses me out!
th-cam.com/video/2gulFfRu_UA/w-d-xo.html
He needs to do explain quadratics step by step while he’s using it to solve the log
Thanks
From Somalia 🇸🇴
Last queen I’m last king
ali dhore wtf
trynna pass semester finals and this test on friday. wish me luck. i haven’t passed a precal test yet this year. cheers to the first
thanks for this! my teacher hates me
Man I still don't understand is it to fast or my brain is to slow I'm still struggling 😢
I got a maths ads after watching this
why didn't you show us how to work out the natural logarithm on the calculator?
my math teacher is shaking
Get him/het to a hospital!!
Thank you for sharing.. I can now answer my assignment 🫶🫶