Question

Changing Bases to Evaluate Logarithms In Exercise, use the change-of-base formula and a calculator to evaluate the logarithm.

Answer 1

Answer:

$log_{5}(13)=1.59369$

Step-by-step explanation:

Changing Bases to Evaluate Logarithms

$log_{5}(13)$

Apply change of base formula'

$log_b(a)= \frac{log a}{log b}$

log term should be the numerator and denominator is the log base

$log_{5}(13)$

$log_{5}(13)= \frac{log 13}{log 5}$

Now use calculator to evaluate the log

$log_{5}(13)= \frac{log 13}{log 5}=1.59369$

$log_{5}(13)=1.59369$