Solve the Exponential Equation $$3 ^ { 9 x } = 2.3$$

question 253

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$3 ^ { 9 x } = 2.3$$

• A) \(\left\{ \frac { \ln 2.3 } { 9 \ln 3 } \right\}\)
• B) \(\left\{ \frac { \ln 2.3 } { 3 \ln 9 } \right\}\)
• C) \(\left\{ \frac { 9 \ln 2.3 } { \ln 3 } \right\}\)
• D) \(\left\{ \frac { 2.3 \ln 9 } { \ln 3 } \right\}\)

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Definitions:

Cattle

Large domesticated herbivores that are raised primarily for meat (beef), milk, and hides, playing a significant role in agricultural economies.

Substitution Effect

The change in consumption that results from a change in the relative price of goods, leading consumers to substitute one product for another.

Output Effect

Refers to the impact on the output level of a firm when it changes the price of its product, often analyzed in the context of monopolistic competition and oligopolies.

Substitution Effect

The economic theory that as prices rise, consumers will replace more expensive items with less costly alternatives, thereby altering the demand for these goods.