QuestionSolve for $x$ in the equation: $3^{2 x}=15^{x-6}$.

Studdy Solution
Finally, solve for $x$ by dividing both sides by $( - \log53)$.
$$x = \frac{6}{ - \log53}$$So, the solution to the equation $3^{2 x}=15^{x-6}$ is $x = \frac{6}{ - \log53}$.