Answer:
x = 60
Explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.