Write the exponential equation as an equation involving a common logarithm or a natural logarithm.
-$$\mathrm { e } ^ { - 3 } = \mathrm { t }$$
A) $\log _ { - 3 } \mathrm { t } = \mathrm { e }$
B) $\ln t = - 3$
C) $\log _ { - 3 } \mathrm { e } = \mathrm { t }$
D) $\ln ( - 3 ) = t$

Question

Quizplus · Accepted Answer

To convert the given exponential equation $e^{-3} = t$ to a logarithmic form, we use the natural logarithm (ln) because the base of the exponential equation is $e$. The correct conversion is $\ln t = -3$, which matches option B.

Write the Exponential Equation as an Equation Involving a Common e−3=t\mathrm { e } ^ { - 3 } = \mathrm { t }e−3=t

Write the Exponential Equation as an Equation Involving a Common $\mathrm { e } ^ { - 3 } = \mathrm { t }$