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

question 281

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) \{ \}

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