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

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

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

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