Solve the equation. Write the solution set with the exact values given in terms of natural or common
logarithms. Also give approximate solutions to 4 decimal places, if necessary.
-$$e ^ { 7 x } = - 9 e ^ { 2 x }$$
A) $\left\{ \frac { \ln 9 } { 5 } \right\} ; x \approx 2.2756$
B) $\left\{ \frac { \ln - 9 } { 5 } \right\} ; x \approx 2.2756$
C) $\left\{ \frac { \ln 9 } { - 5 } \right\} ; x \approx - 2.2756$
D) \{ \}

Question

Quizplus · Accepted Answer

The equation $e^{7x} = -9e^{2x}$ cannot have a solution because the exponential function $e^{x}$ is always positive for any real number $x$, and thus cannot equal a negative number.

Solve the Equation e7x=−9e2xe ^ { 7 x } = - 9 e ^ { 2 x }e7x=−9e2x

Solve the Equation $e ^ { 7 x } = - 9 e ^ { 2 x }$