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) $\log _ { 10 } ( 4.4817 \ldots ) = \frac { 3 } { 2 }$

Question

Quizplus · Accepted Answer

The logarithmic form of $e^{3/2} = 4.4817\ldots$ is $\ln(4.4817\ldots) = \frac{3}{2}$, where $\ln$ denotes the natural logarithm, the inverse of the exponential function $e^x$.

Write the Exponential Equation e3/2=4.4817…e ^ { 3 / 2 } = 4.4817 \ldotse3/2=4.4817…

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