Question

use natural logarithms to solve the equation.
$e^{4x}=19$
select the correct choice below and, if necessary, fill in the answer
a. $x = square$ (simplify your answer. do not round until the final answer.)
b. the solution is not a real number.

Explanation:

Step1: Take natural log of both sides

$\ln(e^{4x})=\ln(19)$

Step2: Use log - exponent property

Since $\ln(e^{a}) = a$, we have $4x=\ln(19)$

Step3: Solve for x

$x = \frac{\ln(19)}{4}$

Answer:

A. $x=\frac{\ln(19)}{4}$