Evaluate the expression without the use of a calculator, and then verify your answer using a calculator.
-$\mathrm { e } ^ { \ln 8 }$
A) 7
B) $e ^ { 8 }$
C) 8
D) $\ln 8$

Question

Quizplus · Accepted Answer

The expression $\mathrm { e } ^ { \ln 8 }$ simplifies to 8 because the exponential function $e^x$ and the natural logarithm $\ln(x)$ are inverse functions, meaning they cancel each other out when composed, leaving the argument of the logarithm, which is 8 in this case.

Evaluate the Expression Without the Use of a Calculator, and Then