Solve the Logarithmic Equation $3 \ln ( 4 x ) = 6$

question 127

Multiple Choice

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $3 \ln ( 4 x ) = 6$

• A) \(\left\{ \frac { \mathrm { e } ^ { 2 } } { 4 } \right\}\)
• B) \(\left\{ \mathrm { e } ^ { 1 / 2 } \right\}\)
• C) \(\left\{ e ^ { 2 } \right\}\)
• D) \(\left\{ \frac { 2 } { \ln 4 } \right\}\)

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Definitions:

Positive Externality

A benefit enjoyed by a third-party as a result of an economic transaction they are not directly involved in.

Equilibrium Quantity

The amount of products or services available that matches the amount sought after at the price where supply meets demand.

Socially Optimal

A condition in which resources are allocated in the most efficient way from the perspective of society as a whole.

Positive Externality

A beneficial effect experienced by a third-party or the society at large, as a result of an economic activity, that isn't reflected in the cost.