Simplify $\ln e ^ { - 6 x ^ { 4 } }$
A) $- 6 x ^ { 4 }$
B) $- 24 x$
C) $- 24 x ^ { 4 }$
D) $- 6 x$
E) $x ^ { 4 }$

Name: Simplify $\ln e ^ { - 6 x ^ { 4 } }$ A) $- 6 x ^ { 4 }$ B) $- 24 x$ C) $- 24 x ^ { 4 }$ D) $- 6 x$ E) $x ^ { 4 }$
Brand: Quizplus
Rating: 5.0 (41 reviews)

Question

Quizplus · Accepted Answer

The logarithm function $\ln$ and the exponential function $e$ are inverse functions. Therefore, $\ln(e^X) = X$. Applying this rule, $\ln(e^{-6x^4}) = -6x^4$.

Simplify ln⁡e−6x4\ln e ^ { - 6 x ^ { 4 } }lne−6x4

Simplify $\ln e ^ { - 6 x ^ { 4 } }$