Question

converting between exponentia and logarithmic forms
the equation $e^y = 2x$ is equivalent to .

Explanation:

Step1: Recall natural log definition

For $e^a = b$, $\ln(b) = a$.

Step2: Apply to given equation

Substitute $a=y$, $b=2x$.
$\ln(2x) = y$

Answer:

$\ln(2x) = y$