Question

Simplify the logarithm log2(32)

Answer 1

let log2 32 = x

then 2^x = 32

but we know 2^5 = 32

therefore, x = 5

Answer 2

Answer:

$log_{2}(32)=5$

Step-by-step explanation:

To simplify the $log_{2}(32)$ we can use the logarithmic base change property:

$log_{a}(b) = \frac{log_{c}(b)}{log_{c}(a)}$.

Where a, b and c are real numbers.

Then we can transform the base 2 log into a base 10 logarithm.

$log_{2}(32) = \frac{log(32)}{log(2)}$

$log_{2}(32) = \frac{1.505}{0.3010}$

$log_{2}(32)=5$