Solve the Exponential Equation $$4 ^ { x + 4 } = 5 ^ { 2 x + 5 }$$

question 224

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$4 ^ { x + 4 } = 5 ^ { 2 x + 5 }$$

• A) \(\left\{ \frac { 5 \ln 5 - 4 \ln 4 } { \ln 4 - 2 \ln 5 } \right\}\)
• B) \(\left\{ \ln \left[ \frac { 5 ^ { 5 } } { 4 ^ { 4 } } - \frac { 4 } { 5 ^ { 2 } } \right] \right\}\)
• C) \(\{ \ln 5 - \ln 4 \}\)
• D) \(\{ 7 \ln 5 - 5 \ln 4 \}\)

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A list or database from which a sample is drawn for research, representing the larger population intended to be analyzed.

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The framework or plan for a study that guides the collection and analysis of data, determining the type, sources, and methods of data gathering and analysis.

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The process of systematically applying statistical and logical techniques to describe, illustrate, condense, recap, and evaluate data.

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A strategy that specifies how samples will be collected from a population for research purposes.