Graphing Logarithms
ฝัง
- เผยแพร่เมื่อ 14 ธ.ค. 2024
- I introduce graphing Logarithms (which I know is mispelled!) and expain how they are an inverse of exponential functions. At 1:48 I misspoke and stated that all exponential growth functions pass through (1,0), but the point is actually (0,1)
Here are my other PreCalculus lessons involving Logarithms
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Graphing Logarithmic Functions without a Calculator 3 Examples
• Graphing Logarithmic F...
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So we started the logs and exponent unit a week ago. Tomorow we have a quiz on it. Today at 3PM I knew nothing about logs since I never paid attention in class caught up in other work. After watching just a couple of your videos, I now understand everything I need to know to ace tomorows quiz, thank you!
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To show you the relationship between the two and hopefully understand it more. Put your function into exponential form 2^y=x+4 subtract 4 from both sides and get 2^y-4=x, then chose some y values in a t-table and solve for x. Graph the points and your done. Domain, you can't log a negative number so x+4>0....x>-4. Y-intercept let x=0. X-intercept let y=0
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Y=1/3^x is an exponential function and x can be negative. Once you have the t-table done and/or graph done, flip the x & y coor. to graph the inverse function which is y=log(base1/3) of X. You are correct in remembering you can't take the log of a negative number. Your last question, yes an just pick the y values instead of x values first to make your t-table and the points you plot will be for y=log(base 1/2) of X. If this makes sense your graph will have a vertical asymptote of x=0.
Now with Closed Captions: Graphing Logarithms
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I am getting better at making these videos and I do not have to worry about a fifteen minute time period any more, so my new videos have more examples. I will get back to these older videos and make more examples, but I am currently swamped with work from my full time job. I appreciate the feedback. I do listen and use what I can to improve.
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I am not sure what you mean by the x-values changing, but the negative in front of the log function is going to reflect your graph over the x-axis.
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I usually save the inverse notation until I finish resolving for y^-1 but I don't really know why. I will take your suggestion and use it:)
@yasinxtype y=0 is the equation of a horizontal line, not a vertical line/asymptote.
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ima bout to be a freshman and i learned geometry and almost finished with algebra 2, and it took Mr. Tarrou to clarify many topics and he explained them with such elegance, thank u so very much bc i love getting ahead
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If your function has a negative leading coefficient, this reflects the parent function over the x axis.
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Thanks professor! I found this video very helpful, but it didn't completely cover all my quarrels with logarithmic graphs. I wish my math teacher was as enthusiastic and enticing as you!
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you are the best by far, you should take this to the next level, there are websites that charge for crappy rush lessons...
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Dear Prof.Rob,
I just started college and taking college algebra is not as easy as i thought it would be... I'm struggling with a C right now.. and watching your videos have starting to give me confidence..I'm relying on your videos to help me get through this semester..Thank You So Much.
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I can see your excitement when you explain math. (*see I snuck in a log with out you noticing, pretty cool eh?) Its not hard to realize this is something your truly passionate about. Thank you for uploading, I hope to continue my learning and using your material
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Professor RobBob ,thank you for another exciting video/lecture on Graphing Logarithms. Graphing by plotting points is always a safe way of getting the correct Graph. Graphs can also be check with a Graphing calculator.
You're Awesome!!!
VERY GOOD explanations. I'm a mature student taking advanced functions and your videos help immensely, better instruction than my teacher's lessons! Keep up the good work, and thank you!
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Well that introduction was exciting
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Just watched your videos about solving and graphing logarithmic functions and equations and you may very well have saved my butt for my upcoming(Tomorrow O_O) test in my MTH130 class. THANK YOU!!!!!!!!
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Based on what I teach from my books, I would just make a big t-table for that function. I don't work with questions that complicated in my classes. Sorry. Your domain will be 0 to infinity because you cannot take an even root of a negative number....that would be from the 1/2 power on the x.
Thank you so much!!!!!
I really understood the domain and Range of the log graphs. Thanks
thank you soooo much .I really appreciated that...........math is getting easier and easier ...........thanks again
why cann't math professors be like you?
I wish they are :(
See one of the things you side in one of your previous videos, which was solving the equation step by step, really helped me improve my grades. I thought i was smart enough to quick solve the equation without having any foolish mistakes, but your videos prove me wrong.
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Good sensible presentation.
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Thanks for the speedy reply...we have friends in Eatonton and have been there many times. I too tried to send you a personal message and got an error because I was not a contact. I have my channel set up to approve ALL comments to keep it PG rated:) Do you know how she found my channel in the first place? Thanks again and I hope you keep in touch and let me know how you finish out your class:)
Thank you, Sir !
You are helping thousands!
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just a note:
7:54 --> the new operating system in the Ti-84 (2.53 or 2.55) allows you to use any base. Alpha F2 or Alpha F3 I believe is the menu where you can do this.
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Wow this clarified everything I am currently learning in my Algebra 2 class. Thank you :).
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Thank you so much, I understand now!
The log test is the first thing I have ever failed. Probably because I drew all over the page in my workbook that had all of the important information about logs.
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This was the most helpful video, thank you so muchh
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haha that was perfect, made it look too easy!! love the energy my maynnneee
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Great !Thank you so much ,I understand now!
THANKS :))))
You really helped me passed my test!!
I think you just passed my precal final for me. Thank you!
You're welcome…"Teamwork" Jake…you study, I teach:) It works out really well for us both in the end…you pass your final and then tell everyone you know where to find good free math help and to SUBSCRIBE and support my efforts!
It makes so much sense now! Thanks ^ ^and can I just comment on how beautiful your hand writing is xD
Ayame Haruka BAM!!!
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