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

question 137

Multiple Choice

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

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

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Definitions:

Asset Turnover

A financial metric assessing how well a company utilizes its assets to produce sales income.

Working Capital

A measure of a company’s liquidity; computed as current assets minus current liabilities.

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A written agreement in which one party agrees to pay another party a definite sum of money at a future date or on demand.

Current Assets

Assets likely to be converted into cash, sold, or consumed within a year or the normal operating cycle of the business.