Enter the correct answer in the box.Rewrite this exponential equation as a logarithmic equation.4⁢e𝑥=16

Sure, let's rewrite the given exponential equation $4e^x = 16$ as a logarithmic equation step by step.

1. Isolate the exponential term: Divide both sides of the equation by 4 to isolate $e^x$. $e^x = \frac{16}{4}$ Simplify the right side: $e^x = 4$

2. Rewrite in logarithmic form: Recall that the natural logarithm (ln) is the inverse of the exponential function with base $e$. The equation $e^x = 4$ can be rewritten using the natural logarithm as: $x = \ln(4)$

So, the logarithmic form of the given exponential equation $4e^x = 16$ is: $x = \ln(4)$