Answer
0.497
Work Step by Step
We are given the equation $5^{3x}=11$. In order to solve, we must first take the natural log of both sides.
$ln(5^{3x})=ln(11)$
$3xln(5)=ln(11)$
Divide both sides by $ln(5)$.
$3x=\frac{ln(11)}{ln(5)}$
Divide both sides by 3.
$x=\frac{ln(11)}{3ln(5)}\approx0.497$