Solve the Equation $$3 ^ { 3 x - 3 } = 2 ^ { 5 x - 4 }$$

Multiple Choice

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.
- $$3 ^ { 3 x - 3 } = 2 ^ { 5 x - 4 }$$

A) $\left\{ \frac { - 4 \ln 2 + 3 \ln 2 } { 3 \ln 3 - 5 \ln 3 } \right\} ; x \approx 0.3155$
B) $\left\{ \frac { - 4 \ln 2 + 3 \ln 3 } { 3 \ln 3 - 5 \ln 2 } \right\} ; x \approx - 3.0798$
C) $\left\{ \frac { - 4 \ln 2 - 3 \ln 3 } { 3 \ln 3 + 5 \ln 2 } \right\} ; x \approx - 0.5521$
D) \{ \}