Answer
$t=e^{\frac{p-r}{k}}$
Work Step by Step
The given expression can be written as:
$r=p-k \ln t$
or, $r-p=-k \ln t $
or, $\ln t= \dfrac{p-r}{k}$
Now, we will solve for $t$.
Therefore, our answer is: $t=e^{\frac{p-r}{k}}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 470: 88
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