Solve the Exponential Equation $$4 ^ { x + 6 } = 7$$

question 178

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$4 ^ { x + 6 } = 7$$

• A) \(\left\{ \frac { \ln 4 } { \ln 7 } + \ln 6 \right\}\)
• B) \(\{ \ln 7 - \ln 4 - \ln 6 \}\)
• C) \(\left\{ \frac { \ln 7 } { \ln 4 } - 6 \right\}\)
• D) \(\left\{ \frac { \ln 4 } { \ln 7 } + 6 \right\}\)

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Definitions:

Aircraft

A vehicle designed to navigate through the air.

Returns to Scale

The change in output resulting from a proportional change in all inputs (factors of production) in the long run.

Inputs

Resources such as labor, materials, and capital that are used in the production process to create goods or services.

Output

The total amount of goods or services produced by a firm, industry, or economy over a certain period of time.