Solve for x: $4 \ln x - \frac { 1 } { 5 } \ln x ^ { 4 } = 16$
A)x = e
B) $x = e ^ { 16 }$
C) $x = e ^ { 4 }$
D) $x = e ^ { 5 }$

Name: Solve for x: $4 \ln x - \frac { 1 } { 5 } \ln x ^ { 4 } = 16$ A)x = e B) $x = e ^ { 16 }$ C) $x = e ^ { 4 }$ D) $x = e ^ { 5 }$
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Question

Quizplus · Accepted Answer

Combine the logarithms: $4 \ln x - \frac{4}{5} \ln x = \frac{16}{5}$. Simplify to $\frac{16}{5} \ln x = \frac{16}{5}$. Solving gives $\ln x = 1$, so $x = e^1 = e$. However, the correct simplification should lead to $x = e^5$.

Solve for X 4ln⁡x−15ln⁡x4=164 \ln x - \frac { 1 } { 5 } \ln x ^ { 4 } = 164lnx−51​lnx4=16

Solve for X $4 \ln x - \frac { 1 } { 5 } \ln x ^ { 4 } = 16$