Question

Write log8 3 as a logarithm of base 5.

Answer 1

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

Answer 2

`log_8(3)=(log_5(3))/(log_5(8))`

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)=(log_c(b))/(log_c(a))`

This is called the change of base formula.

We apply this formula to get;

`log_8(3)=(log_5(3))/(log_5(8))`