Question

(3Q) Evaluate the logarithm.

Answer 1

ANSWER

$a. \: \frac{5}{3}$

EXPLANATION

The given logarithm is

$log_{8}(32)$

Rewrite both the base and the number as a power to base 2.

$log_{8}(32) = log_{ {2}^{3} }( {2}^{5} )$

Use the following property:

$log_{ {a}^{q} }( {a}^{p} ) = \frac{p}{q}$

This implies that,

$log_{8}(32) = log_{ {2}^{3} }( {2}^{5} ) = \frac{5}{3}$

Answer 2

Answer:

a. 5/3

that's your answer