I remember in High-School (1961-1964) there was a course called Confucian, a sort of high school advanced Algebra / Calculus course that had log tables at the end of the book. I even remember there was a complete book of log tables. I also, for some reason, bought a Picket Slide Rule and even had some vague idea of how to use it. I bought that sometime in the late 60s and still have it, complete with stiff leather holder. In the end, I thought Math presented an awful lot of work for very small results. And Literature was far more practical.
I think that the value of the ratio here [ (log20)/(log3)) ] will remain constant regardless the value that the bases have, assuming that the bases are the same. This allows the expression to be written as "log 20 base 3". .. (note that log a base a = 1).
I believe, that irrespective of those who teach Math and claim that with good instruction in Math, most can learn it. The fact still remains that we ALL have different gifts and talents. Some are naturally drawn to Science, some to the Arts, some to neither and do whatever to survive. The teaching in Math in my era (1950's) was abysmal. They sorted us out into those who were good at Math and put the rest of us to one side and concentrated on those who were the stars in Math, Science etc, while the rest of us who mostly were creative were looked down upon with disain. But I am happy being who I am. However, having said the above, I still try my best to understand the concepts of a subject I struggled with at school, still trying to understand the basic principles of Algebra, Geometry and Trigonometry. I have improved substantially in Math, thanks to this website! Thank God for John's instructions, I have learn't a lot from him. Thank you John! I am still trying to get there , now in my 70s'! lol!❤👍
Got 2.7 by sight. Then played with the calc. Thanks for the fun. I remember log tables in the back of the book. Graduated high school in 69. Never had the opportunity to learn a slide rule. Shame, they are awesome.
15:10 You're going to need Log Tables, a slide rule OR a calculator! We had a demonstration slide rule hanging on the wall by the blackboard, about 5' long, that the professor used to teach our class how to use them. I wonder where all those went? A museum?
Why didn’t you do a log? You always get close to answer but you also seem to got distracted and rarely finish with complete instruction. You should mentioning what you do plan to do. It can confused the learner.
When I took Trigonometry and Algebra II, I had to use a slide rule. I think I still have a slide rule. I heard it can be done on an abacus, but I don't know how.
In 1972 I competed in UIL drama and poetry interpretation (get the picture of my expertise?) My math teacher asked me to sign up for slide rule because the school got points for entrants regardless of how they did. I was actually a little proud of myself for coming in 11th out of 12 entrants because I didn't come in last.
I remember in High-School (1961-1964) there was a course called Confucian, a sort of high school advanced Algebra / Calculus course that had log tables at the end of the book. I even remember there was a complete book of log tables. I also, for some reason, bought a Picket Slide Rule and even had some vague idea of how to use it. I bought that sometime in the late 60s and still have it, complete with stiff leather holder.
In the end, I thought Math presented an awful lot of work for very small results. And Literature was far more practical.
I agree because we use grammar and linguistics on a daily basis compared to math
3^x = 20
x(log3) = log20
x = (log20)/(log3)
x = 2.727 (rounded)
I think that the value of the ratio here [ (log20)/(log3)) ] will remain constant regardless the value that the bases have, assuming that the bases are the same. This allows the expression to be written as "log 20 base 3". .. (note that log a base a = 1).
I believe, that irrespective of those who teach Math and claim that with good instruction in Math, most can learn it. The fact still remains that we ALL have different gifts and talents. Some are naturally drawn to Science, some to the Arts, some to neither and do whatever to survive. The teaching in Math in my era (1950's) was abysmal. They sorted us out into those who were good at Math and put the rest of us to one side and concentrated on those who were the stars in Math, Science etc, while the rest of us who mostly were creative were looked down upon with disain. But I am happy being who I am. However, having said the above, I still try my best to understand the concepts of a subject I struggled with at school, still trying to understand the basic principles of Algebra, Geometry and Trigonometry. I have improved substantially in Math, thanks to this website! Thank God for John's instructions, I have learn't a lot from him. Thank you John! I am still trying to get there , now in my 70s'! lol!❤👍
Got 2.7 by sight.
Then played with the calc.
Thanks for the fun.
I remember log tables in the back of the book.
Graduated high school in 69.
Never had the opportunity to learn a slide rule.
Shame, they are awesome.
3×3×3 =27
3×3 =9
20 = 3^?2.5 = 15.59
3^2.6=17.40
3^2.7=19.42
3^2.71=19.63
3^2.74=20.29
3^2.73=20.07
x=2.73
3^x = 20 -> herschrijf het in logaritmische vorm log₃(20)
log₃(20) = x
Change of base : log₃(20) = log20/log3
3^X = 20
LOG(3^x) = LOG(20)
X*LOG(3) = LOG(10) + LOG(2)
X = (1 + LOG(2))/LOG(3)
Therefore X equal approx. 2.727
15:10 You're going to need Log Tables, a slide rule OR a calculator!
We had a demonstration slide rule hanging on the wall by the blackboard, about 5' long, that the professor used to teach our class how to use them. I wonder where all those went? A museum?
"Don´t know what a slide rule is for" Sam Cooke 1959 ❤
Works in any base of course as the ratios are the same.
Why didn’t you do a log? You always get close to answer but you also seem to got distracted and rarely finish with complete instruction. You should mentioning what you do plan to do. It can confused the learner.
He DID a log.
Maybe you gave up before minute 11:30
log20 / log3 = factor of 3 to result in 20.
I got 2.726833 using ln20/ln3. My calculator lacks a log button. I still have a K&E Deci-Lon slide rule but I've forgotten how to use it!.
Keep your K&E from getting wet. It should outlive you.
2.7268 exactly!! :)
Nope, not exact, x is transcendental
0:48 2.726 rounds off to 2.73, not 2.72.
xlog3 = log20 => x = (2log2)(log5)/log3
When I took Trigonometry and Algebra II, I had to use a slide rule. I think I still have a slide rule. I heard it can be done on an abacus, but I don't know how.
In 1972 I competed in UIL drama and poetry interpretation (get the picture of my expertise?) My math teacher asked me to sign up for slide rule because the school got points for entrants regardless of how they did. I was actually a little proud of myself for coming in 11th out of 12 entrants because I didn't come in last.
that is very difficult, i searched naver about power of a fraction.
all i got was a scientific calculator...i powered many times to get 2.726...
Uaing log? X log 3 =log 20, x= log20/log3
Ln20/Ln3 = 2.726833…
X ~~2.72…
Thank you
yeap i remember those tables also remember sliding rule
3.14rootof
Is it just a coincidence that the answer is almost e (Euler's number)? Or did you choose 3 and 20 deliberately because it's nearly e?
John was thinking of "Three and twenty black birds baked in a pie..." but he made another mistake: it's supposed to be 4 & 20 blackbirds!
60
As a teacher you have much to reconsider.
*leave much to be desired
I still have my Slide ruler's that I had back in High School in my Electronic class, Some Time known as a Slip Stick...
LOL I guessed 2.62 without doing any math
Have you tried horse racing?
Yikes! Please just show us how to solve!