log base 2 of 3 without calculator (Check)
log₂(3) = ?
What is the answer to log base 2 of 3?
How to key in log2 on casio calculators?
Why Log of -8 with base -2 is not 3?
How do you calculate log base 2?
What is log base 2?
How do I calculate the logarithm in base 2?
To calculate the logarithm in base 2, you probably need a calculator. However, if you know the result of the natural logarithm or the base 10 logarithm of the same argument, you can follow these easy steps to find the result. For a number x:
-
Find the result of either
log10(x)orln(x). -
Divide the result of the previous step by the corresponding value between:
-
log10(2) = 0.30103; or -
ln(2) = 0.693147.
-
-
The result of the division is
log2(x).
Videos
I got this question from this video and there were 4 options:
https://www.youtube.com/watch?v=X6C5hGpWW5A
can anyone tell me if my method was accurate, (the guy in the video used a more simpler method but here's mine):
we know 2>x>1 (2^2 = 4 >3 > 2^1 =2) then I took three values as x from the question:
(i) 2^ 3/2 = 2 *sq rt (2)
(ii) 2 ^ 4/3 = 2* cub rt (2)
(iii) 2 ^ 5/3 = 2* cub rt (4)
As (ii) n (iii) are the closest values to 3, log base 2 of 3 must lie between 1 1/2 and 1 2/3. How accurate do you think this method would be? I will really really enjoy some feedback it has really been bugging me.