Question

Rewrite this exponential equation as a logarithmic equation. 4e^x=16

Answer 1

Answer:

The rewritten equation is: $x = \ln{4}$

Step-by-step explanation:

The inverse operation of the exponential is the natural logarithm, $\ln$, and the following property is used to solve this question:

$\ln{e^x} = x$

In this question, we have that:

$4e^x = 16$

$e^x = \frac{16}{4}$

$e^x = 4$

Applying the natural logarithm to both sides:

$\ln{e^x} = \ln{4}$

$x = \ln{4}$

The rewritten equation is: $x = \ln{4}$