Simplify the expression.
-$\log _ { e } e ^ { | x - 19 | }$
A) $19 \log _ { \mathrm { e } } \mathrm { e }$
B) $\log _ { e } 19$
C) $\log | x - 19 |$
D) $| x - 19 |$

Question

Quizplus · Accepted Answer

The expression simplifies directly by the property of logarithms that $\log_b(b^x) = x$, where $b$ is the base of the logarithm. Here, $b = e$, so $\log_e(e^{|x-19|}) = |x-19|$.

Simplify the Expression log⁡ee∣x−19∣\log _ { e } e ^ { | x - 19 | }loge​e∣x−19∣

Simplify the Expression $\log _ { e } e ^ { | x - 19 | }$