Solve the Exponential Equation $5 ^ { x + 7 } = 2$

question 94

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $5 ^ { x + 7 } = 2$

• A) \(\left\{ \frac { \ln 2 } { \ln 5 } - 7 \right\}\)
• B) \(\left\{ \frac { \ln 5 } { \ln 2 } + 7 \right\}\)
• C) \(\left\{ \frac { \ln 5 } { \ln 2 } + \ln 7 \right\}\)
• D) \(\{ \ln 2 - \ln 5 - \ln 7 \}\)

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