Answer
$1600$ years
Work Step by Step
We want $C(t)=0.5A$. Solve for t:
$0.5A=A(0.999567)^{t}$
$0.5=0.999567^{t}$
$\log 0.5=t\log 0.99567$
$t=\displaystyle \frac{\log 0.5}{\log 0.99567}\approx 1600$ years
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 658: 49
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