Solve the Equation $4 e ^ { 5 m - 5 } - 2 = 14$

question 286

Multiple Choice

Solve the equation. Write the solution set with the exact values given in terms of natural or common
logarithms. Also give approximate solutions to 4 decimal places, if necessary.
- $4 e ^ { 5 m - 5 } - 2 = 14$

• A) \(\left\{ \frac { \ln 4 + 5 } { 5 } \right\} ; m = 1.2773\)
• B) \(\left\{ \frac { \ln 3 + 5 } { \ln 5 } \right\} ; m = 3.7893\)
• C) \(\left\{ \frac { \ln 3 + 5 } { 5 } \right\} ; m = 1.2197\)
• D) \(\left\{ \frac { \ln 4 + 5 } { \ln 5 } \right\} ; m = 3.9680\)

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Definitions:

Groundwater

The water present beneath the Earth's surface in soil pore spaces and in the fractures of rock formations.

Surface Water

Water that is found on the surface of the earth, such as in lakes, rivers, and ponds.

Safe Drinking Water

Water that meets safety standards for consumption without causing health problems.

Levees

Raised banks or barriers constructed along rivers or other water bodies to protect land from flooding and manage water flow.