Write the Exponential Equation $e ^ { 3 / 2 } = 4.4817 \ldots$

question 52

Multiple Choice

Write the exponential equation $e ^ { 3 / 2 } = 4.4817 \ldots$ in logarithmic form.

• A) \(\ln ( 4.4817 \ldots ) = \frac { 3 } { 2 }\)
• B) \(2.303 \log \left( \frac { 3 } { 2 } \right) = 4.4817 \ldots\)
• C) \(\ln ( 4.4817 \ldots ) = \frac { 2 } { 3 }\)
• D) \(\ln \left( \frac { 3 } { 2 } \right) = 4.4817 \ldots\)
• E) \(\log _ { 10 } ( 4.4817 \ldots ) = \frac { 3 } { 2 }\)

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Definitions:

Per Gallon

A unit of measurement used to quantify quantities, such as fuel efficiency or liquid commodity prices, based on volume per gallon.

Per Capita

A statistical measure that divides an aggregate by the number of individuals in the population, often used to express averages.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a state of market balance.

Equilibrium Quantity

The quantity of goods or services demanded equals the quantity supplied at the market price, resulting in market equilibrium.