Question

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

log5 13

Answer 1

`log_(5)(13)=1.59369`

Explanation:

Changing Bases to Evaluate Logarithms

`log_(5)(13)`

Apply change of base formula'

`log_b(a)= (log a)/(log b)`

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

`log_(5)(13)`

`log_(5)(13)= (log 13)/(log 5)`

Now use calculator to evaluate the log

`log_(5)(13)= (log 13)/(log 5)=1.59369`

`log_(5)(13)=1.59369`