Solve the Equation $5 ^ { 5 x + 6 } = 4 ^ { 8 x }$

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.
- $5 ^ { 5 x + 6 } = 4 ^ { 8 x }$ ; use natural logarithms

A) $\left\{ \frac { 6 \ln 5 } { 5 \ln 5 - 8 \ln 4 } \right\} ; x \approx - 3.1732$
B) $\left\{ \frac { 6 \ln 5 } { 8 \ln 4 - 5 \ln 5 } \right\} ; x \approx 3.1732$
C) $\left\{ \frac { \ln 6 } { \ln 8 - \ln 5 } \right\} ; x \approx 3.8122$
D) \{ \}