Answer
$x\approx32.9501
Work Step by Step
Given expression
$.05(1.15)^x=5$
Divide both sides by 0.05.
$(1.15)^x=100$
Take log of both sides.
$\log(1.15)^x=\log100$
Use the Power Rule of logarithms.
$x\log1.15=\log100$
Solve for $x$.
$x=\frac{\log100}{\log1.15}$
$x\approx32.9501$
