Solve for t or y, as appropriate.
-$$100 \mathrm { e } ^ { 8 \mathrm { t } } = 200$$
A) $\frac { \mathrm { e } ^ { 2 } } { 8 }$
B) $\frac { \ln 100 } { 8 }$
C) $\frac { \ln 2 } { 8 }$
D) $\ln \left( \frac { 1 } { 4 } \right)$

Question

Quizplus · Accepted Answer

First, divide both sides by 100 to get $\mathrm{e}^{8t} = 2$. Then, take the natural logarithm of both sides to solve for $t$, which gives $8t = \ln(2)$. Finally, divide both sides by 8 to isolate $t$, resulting in $t = \frac{\ln(2)}{8}$.

Solve for T or Y, as Appropriate 100e8t=200100 \mathrm { e } ^ { 8 \mathrm { t } } = 200100e8t=200

Solve for T or Y, as Appropriate $100 \mathrm { e } ^ { 8 \mathrm { t } } = 200$