Write the exponential equation $e ^ { 5 / 2 } = 12.1825 \ldots$ in logarithmic form.
A) $2.303 \log \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots$
B) $\log _ { 10 } ( 12.1825 \ldots ) = \frac { 5 } { 2 }$
C) $\ln \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots$
D) $\ln ( 12.1825 \ldots ) = \frac { 5 } { 2 }$
E) $\ln ( 5 ) = \frac { 12.1825 \ldots } { 2 }$

Question

Quizplus · Accepted Answer

The logarithmic form of $e^{x} = y$ is $\ln(y) = x$. Therefore, converting $e^{5/2} = 12.1825\ldots$ to logarithmic form results in $\ln(12.1825\ldots) = \frac{5}{2}$.

Write the Exponential Equation e5/2=12.1825…e ^ { 5 / 2 } = 12.1825 \ldotse5/2=12.1825…

Write the Exponential Equation $e ^ { 5 / 2 } = 12.1825 \ldots$