You will have to use this formula:
log(1 + rate) = {log(total) -log(Principal)} ÷ Years
log(1 + rate) = {log(100,000) -log(21,600)} ÷ Years
log(1 + rate) = { 5 -4.3344537512} / Years
log(1 + rate) =
{ 0.6655462488} / 42
log(1 + rate) =
0.0158463393
1 + rate = 10^
0.015846339
1 + rate = 1.0371613856
rate = .0371613856
rate = 3.71613856%
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Double-Check
Total = principal * (1 +rate)^years
Total = 21,600 * (1.0371613856)^42
Total = 21,600 *
4.6296296291
Total = 100,000
Correct !!