Question

homework: 21b 1111 - exponential and logarithmic edns homework (sec. 4.4) question 16, 4.4.51-setup & solve part 1 of 3 hw score: 24.29%, 8.5 of 35 points points: 0 of 1 solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use a calculator to obtain a decimal approximation. c ln x = 3 rewrite the given equation without logarithms. do not solve for x

Explanation:

Step1: Recall logarithm definition

The natural logarithm $\ln x$ is base $e$, so $\ln x = y$ means $x = e^y$.

Step2: Apply to given equation

Given $\ln x = 3$, using the definition, we rewrite it as $x = e^3$.

Answer:

$x = e^3$ (or decimal approximation $x \approx 20.0855$)