Solve the Exponential Equation $$5 ^ { 3 x } = 2.8$$

question 105

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$5 ^ { 3 x } = 2.8$$

• A) \(\left\{ \frac { \ln 2.8 } { 3 \ln 5 } \right\}\)
• B) \(\left\{ \frac { \ln 2.8 } { 5 \ln 3 } \right\}\)
• C) \(\left\{ \frac { 3 \ln 2.8 } { \ln 5 } \right\}\)
• D) \(\left\{ \frac { 2.8 \ln 3 } { \ln 5 } \right\}\)

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Definitions:

Calories

Units of energy in food, with the human body requiring a certain number of calories for basic functions and additional activities.

Protein

Essential nutrients that are vital for building, maintaining, and repairing tissues, cells, and organs throughout the body.

Whole-Grain

Refers to grains that have all of their parts intact: the bran, germ, and endosperm, providing more nutrients and fiber.

Fructose

A simple sugar found in many plants that is sweeter than glucose and used in various foods and beverages.