Solve the exponential equation. Express the solution set in terms of natural logarithms.
-$$e ^ { x + 5 } = 7$$
A) $\{ \ln 7 - 5 \}$
B) $\left\{ \mathrm { e } ^ { 7 } + 5 \right\}$
C) $\left\{ \mathrm { e } ^ { 35 } \right\}$
D) $\{ \ln 12 \}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{x+5} = 7$, take the natural logarithm of both sides to get $x + 5 = \ln 7$, which simplifies to $x = \ln 7 - 5$.

Solve the Exponential Equation ex+5=7e ^ { x + 5 } = 7ex+5=7

Solve the Exponential Equation $e ^ { x + 5 } = 7$