Question

Write log8 3 as a logarithm of base 5.

Answer 1

Answer:

$log_8(3)=\frac{log_5(3)}{log_5(8)}$

Step-by-step explanation:

The  given logarithmic expression is

$log_8(3)$

We read this logarithmic expression as "The logarithm of 3 to base 8".

We want to rewrite so that the base is 5.

Recall that;

$log_a(b)=\frac{log_c(b)}{log_c(a)}$

This is called the change of base formula.

We apply this formula to get;

$log_8(3)=\frac{log_5(3)}{log_5(8)}$

Answer 2

The answer is log5) 3) log5)8
Example a= 8, x=3, b=5