Use the Definition of a Logarithm to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
-$\ln x = 8$
A) $\left\{ e ^ { 8 } \right\}$
B) $\{ \ln 8 \}$
C) $\{ 8 \mathrm { e } \}$
D) $\left\{ \frac { 8 } { \ln 1 } \right\}$

Question

Quizplus · Accepted Answer

Using the definition of a logarithm,
$\ln x = 8$ means $x=e^8$.
Since the domain of a natural logarithm is $x \in (0, \infty)$, we only consider the solution $x=e^8$ in this domain. Therefore, the answer is $\left\{ e ^ { 8 } \right\}$.

Use the Definition of a Logarithm to Solve Logarithmic Equations ln⁡x=8\ln x = 8lnx=8

Use the Definition of a Logarithm to Solve Logarithmic Equations $\ln x = 8$