Answer:
[tex]log_8(3)=\frac{log_5(3)}{log_5(8)}[/tex]
Step-by-step explanation:
The given logarithmic expression is
[tex]log_8(3)[/tex]
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;
[tex]log_a(b)=\frac{log_c(b)}{log_c(a)}[/tex]
This is called the change of base formula.
We apply this formula to get;
[tex]log_8(3)=\frac{log_5(3)}{log_5(8)}[/tex]
