Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
-$$8 + 5 \ln x = 16$$
A) $\left\{ e ^ { 8 / 5 } \right\}$
B) $\left\{ \frac { 8 } { 5 \ln 1 } \right\}$
C) $\left\{ \frac { e ^ { 8 } } { 5 } \right\}$
D) $\left\{ \ln \left( \frac { 8 } { 5 } \right) \right\}$

Question

Quizplus · Accepted Answer

First, isolate the logarithm: $5 \ln x = 16 - 8 = 8$. Then, divide by 5: $\ln x = \frac{8}{5}$. To solve for $x$, exponentiate both sides with base $e$: $x = e^{8/5}$.

Choose the One Alternative That Best Completes the Statement or Answers