Solve the exponential equation. Express the solution set in terms of natural logarithms.
-$$e ^ { x + 3 } = 6$$
A) $\{ \ln 9 \}$
B) $\{ \ln 6 - 3 \}$
C) $\left\{ \mathrm { e } ^ { 18 } \right\}$
D) $\left\{ e ^ { 6 } + 3 \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{x+3} = 6$, take the natural logarithm of both sides: $x + 3 = \ln 6$. Solving for $x$ gives $x = \ln 6 - 3$.

Solve the Exponential Equation ex+3=6e ^ { x + 3 } = 6ex+3=6

Solve the Exponential Equation $e ^ { x + 3 } = 6$