Answer
1.201
Work Step by Step
We are given the equation $3^{2x}=14$. In order to solve, we must first take the natural log of both sides.
$ln(3^{2x})=ln(14)$
$2xln(3)=ln(14)$
Divide both sides by $ln(3)$.
$2x=\frac{ln(14)}{ln(3)}$
Divide both sides by 2.
$x=\frac{ln(14)}{2ln(3)}\approx1.201$
