Solve the Equation $$8,000 = 24,000 \mathrm { e } ^ { - 0.7 \mathrm { t } }$$

question 67

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.
- $$8,000 = 24,000 \mathrm { e } ^ { - 0.7 \mathrm { t } }$$

• A) \(\left\{ \frac { \ln 3 } { \ln 0.7 } \right\} ; x \approx - 3.0801\)
• B) \(\left\{ \frac { \ln 3 } { - 0.7 } \right\} ; x \approx - 1.5694\)
• C) \(\left\{ \frac { \ln 3 } { 0.7 } \right\} ; x \approx 1.5694\)
• D) \{ \}

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Definitions:

Indian Ocean

The third largest ocean in the world, bounded by Africa to the west, Asia to the north, Australia to the east, and the Southern Ocean to the south.

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A measure of how resistant a fault is to movement or slip under tectonic stresses.

Stress Decreases

Refers to the reduction in the force per unit area exerted on a material or structure.

Stress Consistently

implies the continuous application or presence of force on an object or material over a period of time.