Answer:
[tex]log_{5}(13)=1.59369[/tex]
Step-by-step explanation:
Changing Bases to Evaluate Logarithms
[tex]log_{5}(13)[/tex]
Apply change of base formula'
[tex]log_b(a)= \frac{log a}{log b}[/tex]
log term should be the numerator and denominator is the log base
[tex]log_{5}(13)[/tex]
[tex]log_{5}(13)= \frac{log 13}{log 5}[/tex]
Now use calculator to evaluate the log
[tex]log_{5}(13)= \frac{log 13}{log 5}=1.59369[/tex]
[tex]log_{5}(13)=1.59369[/tex]
