QuestionSolve the logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the original logarithmic expression. $$3 \ln (9 x)=15$$
Rewrite the given equation without logarithms. Do not solve for x . $\square$

Studdy Solution
Consider the domain of the logarithmic expression. Since $\ln(9x)$ is defined only for $9x > 0$, we have:
$$9x > 0$$
This implies:
$$x > 0$$
Ensure that any solution for $x$ satisfies this condition.
The rewritten equation without logarithms is:
$$9x = e^5$$