Answer
0.827
Work Step by Step
We are given the equation $7^{x}=5$. In order to solve, we must first take the natural log of both sides.
$ln(7^{x})=ln(5)$
$xln(7)=ln(5)$
Divide both sides by $ln(7)$.
$x=\frac{ln(5)}{ln(7)}\approx0.827$