Simplify the expression below. $6 + e ^ { \ln x ^ { 4 } }$

A) $6 + e ^ { 4 }$
B) $6 + x ^ { 4 }$
C) $6 + \ln 4$
D) $\ln 10$
E) $6 + 4 \ln x$

Name: Simplify the expression below. $6 + e ^ { \ln x ^ { 4 } }$ A) $6 + e ^ { 4 }$ B) $6 + x ^ { 4 }$ C) $6 + \ln 4$ D) $\ln 10$ E) $6 + 4 \ln x$
Brand: Quizplus
Rating: 4.8 (46 reviews)

Question

Simplify the expression below. $6 + e ^ { \ln x ^ { 4 } }$

A) $6 + e ^ { 4 }$
B) $6 + x ^ { 4 }$
C) $6 + \ln 4$
D) $\ln 10$
E) $6 + 4 \ln x$

Quizplus · Accepted Answer

$\ln x^4$ simplifies to $4 \ln x$, so the expression becomes $6 + e^{4 \ln x}$. Using the exponent rule $e^{a \ln b} = b^a$, we can simplify this to $6 + (e^{\ln x})^4 = 6 + x^4$. Therefore, the answer is (B).

Simplify the Expression Below 6+eln⁡x46 + e ^ { \ln x ^ { 4 } }6+elnx4

Simplify the Expression Below $6 + e ^ { \ln x ^ { 4 } }$