-1
$\begingroup$

Find the logarithms of the following numbers to the base 2: 32

I know 32 is 2^5. What is the format of the answer? Thanks

$\endgroup$
0
$\begingroup$

Find the logarithms of the following numbers to the base 2:

(...)

What is the format of the answer?

This is usually written as: $$\log_{2} 32$$

I know 32 is 2^5.

This is indeed equal to $5$ for exactly that reason: $$\log_{2} 32 = 5 \iff 2^5 = 32$$ Or in general (for $a>0$ and $a \ne 1$, $x>0$): $$\log_{a} x = y \iff a^y = x$$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.