Solve the Exponential Equation $$5 ^ { x + 6 } = 2$$

question 221

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$5 ^ { x + 6 } = 2$$

• A) \(\left\{ \frac { \ln 2 } { \ln 5 } - 6 \right\}\)
• B) \(\left\{ \frac { \ln 5 } { \ln 2 } + 6 \right\}\)
• C) \(\left\{ \frac { \ln 5 } { \ln 2 } + \ln 6 \right\}\)
• D) \(\{ \ln 2 - \ln 5 - \ln 6 \}\)

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