Solve the exponential equation. Round your answer to two decimal places. $4 + e ^ { 2 - x } = 20$
A) $x = - 0.77$
B) $x = 5.18$
C) $x = 0.80$
D) $x = 4.77$
E) $x = - 0.39$

Question

Quizplus · Accepted Answer

First, isolate the exponential term: $e^{2-x} = 16$. Taking the natural logarithm of both sides gives $2-x = \ln(16)$. Solving for $x$ yields $x = 2 - \ln(16)$, which approximately equals $-0.77$.

Solve the Exponential Equation 4+e2−x=204 + e ^ { 2 - x } = 204+e2−x=20

Solve the Exponential Equation $4 + e ^ { 2 - x } = 20$