Solve the equation by expressing each side as a power of the same base and then equating exponents.
-$$\mathrm { e } ^ { \mathrm { x } + 5 } = \frac { 1 } { \mathrm { e } ^ { 10 } }$$
A) $\{ - 15 \}$
B) $\{ 15 \}$
C) $\{ - 5 \}$
D) $\{ 5 \}$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $e^{x+5} = e^{-10}$ by expressing the right side as a negative exponent. Equating the exponents gives $x + 5 = -10$, solving for $x$ gives $x = -15$.

Solve the Equation by Expressing Each Side as a Power ex+5=1e10\mathrm { e } ^ { \mathrm { x } + 5 } = \frac { 1 } { \mathrm { e } ^ { 10 } }ex+5=e101​

Solve the Equation by Expressing Each Side as a Power $\mathrm { e } ^ { \mathrm { x } + 5 } = \frac { 1 } { \mathrm { e } ^ { 10 } }$