Solve the equation.
-$$\mathrm { e } ^ { \mathrm { x } - 5 } = \left( \frac { 1 } { \mathrm { e } ^ { 5 } } \right) ^ { \mathrm { x } + 6 }$$
A) $\left\{ - \frac { 35 } { 4 } \right\}$
B) $\left\{ \frac { 11 } { 6 } \right\}$
C) $\left\{ - \frac { 25 } { 6 } \right\}$
D) $\left\{ - \frac { 11 } { 4 } \right\}$

Question

Quizplus · Accepted Answer

By equating the exponents, we get $x - 5 = -(x + 6)$. Solving this gives $x = -\frac{25}{6}$.

Solve the Equation ex−5=(1e5)x+6\mathrm { e } ^ { \mathrm { x } - 5 } = \left( \frac { 1 } { \mathrm { e } ^ { 5 } } \right) ^ { \mathrm { x } + 6 }ex−5=(e51​)x+6

Solve the Equation $\mathrm { e } ^ { \mathrm { x } - 5 } = \left( \frac { 1 } { \mathrm { e } ^ { 5 } } \right) ^ { \mathrm { x } + 6 }$