Question

(3Q) Evaluate the logarithm.

Answer 1

a. 5/3

that's your answer

Answer 2

`a. \: (5)/(3)`

Step-by-step 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) ) = (p)/(q)`

This implies that,

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