Question

write the log equation as an exponential equation. you do not need to solve for x.
\ln(5x) = 2x - 1

Explanation:

Step1: Recall the definition of natural logarithm

The natural logarithm $\ln(y)$ is defined as the logarithm with base $e$, so $\ln(y) = a$ is equivalent to $e^a = y$.

Step2: Apply the definition to the given equation

In the equation $\ln(5x) = 2x - 1$, let $y = 5x$ and $a = 2x - 1$. Using the definition of the natural logarithm, we can rewrite it as $e^{2x - 1} = 5x$.

Answer:

$e^{2x - 1} = 5x$