SOLUTION: How do I isolate an exponent in an equation to calculate it? For example the following compound interest equation; if I wanted to isolate t (time in years) how would I do that? T

Algebra ->  Exponents -> SOLUTION: How do I isolate an exponent in an equation to calculate it? For example the following compound interest equation; if I wanted to isolate t (time in years) how would I do that? T      Log On


   

Question 16611: How do I isolate an exponent in an equation to calculate it? For example the following compound interest equation; if I wanted to isolate t (time in years) how would I do that? Thank you for your help and I look forward to hearing from you.

A=P(1+r/n)^nt
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use logarithms!
A+=+P%281%2Br%2Fn%29%5Ent Divide both sides by P.
A%2FP+=+%281%2Br%2Fn%29%5Ent Take the log of both sides.
log%28A%2FP%29+=+ntlog%281%2Br%2Fn%29 Divide both sides by nlog%281%2Br%2Fn%29
%28log%28A%2FP%29%29%2Fnlog%281%2Br%2Fn%29+=+t