Solve for t or y, as appropriate.
-$$\mathrm { e } ^ { 2 \mathrm { t } } = 49$$
A) $\frac { e ^ { 49 } } { 2 }$
B) $\ln 7$
C) $\ln 49$
D) $\ln \frac { 49 } { 2 }$

Question

Quizplus · Accepted Answer

To solve for $t$, take the natural logarithm of both sides: $\ln(e^{2t}) = \ln(49)$. This simplifies to $2t = \ln(49)$, and since $\ln(49) = \ln(7^2) = 2\ln(7)$, dividing both sides by 2 gives $t = \ln(7)$.

Solve for T or Y, as Appropriate e2t=49\mathrm { e } ^ { 2 \mathrm { t } } = 49e2t=49

Solve for T or Y, as Appropriate $\mathrm { e } ^ { 2 \mathrm { t } } = 49$