Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises: 19

Answer

$$t=\frac{1}{5}\ln{\frac{100}{7}}$$

Work Step by Step

$7e^{5t}=100$ Dividing both sides by 7: $e^{5t}=\frac{100}{7}$ Taking the natural log of both sides: $5t=\ln{\frac{100}{7}}$ Solving for $t$: $t=\frac{1}{5}\ln{\frac{100}{7}}$
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