Solve for the indicated variable.
-$\mathrm { i } = \mathrm { v } - \mathrm { k } \ln \mathrm { t }$, for $\mathrm { t }$
A) $t = e ^ { ( i - v ) / k }$
B) $t = \ln \frac { v - i } { k }$
C) $t = \frac { v - i } { k }$
D) $t = e ^ { ( v - i ) / k }$

Question

Quizplus · Accepted Answer

To solve for $t$, we start with the given equation $i = v - k \ln t$. Rearranging to solve for $\ln t$, we get $\ln t = \frac{v - i}{k}$. To isolate $t$, we exponentiate both sides, leading to $t = e^{(v - i) / k}$.

Solve for the Indicated Variable i=v−kln⁡t\mathrm { i } = \mathrm { v } - \mathrm { k } \ln \mathrm { t }i=v−klnt

Solve for the Indicated Variable $\mathrm { i } = \mathrm { v } - \mathrm { k } \ln \mathrm { t }$