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:

External Locus

A belief that one's life events are primarily controlled by external forces or the environment rather than one's own efforts.

Worth Or Importance

The perceived value or significance of something, often determining the attention and resources it receives.

Corporate Culture

Corporate culture refers to the beliefs, behaviors, and values that a company's employees share.

Internal Locus

A belief that one controls their own destiny and outcomes are the result of personal efforts.