SOLUTION: I am studying for my final and was wondering if I could get help with this problem: Solve the compound interest formula for t by using natural logarithms. A=P(1+r/n)^nt

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I am studying for my final and was wondering if I could get help with this problem: Solve the compound interest formula for t by using natural logarithms. A=P(1+r/n)^nt      Log On


   

Question 117944This question is from textbook Fund of Trig and Alg
: I am studying for my final and was wondering if I could get help with this problem: Solve the compound interest formula for t by using natural logarithms. A=P(1+r/n)^nt This question is from textbook Fund of Trig and Alg

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for t using natural logarithms:
A+=+P%281%2Br%2Fn%29%5Ent Divide both sides by P.
A%2FP+=+%281%2Br%2Fn%29%5Ent Take the natual log of both sides.
ln%28A%2FP%29+=+ln%281%2Br%2Fn%29%5Ent Apply the power rule for logarithms to the right side. (log%28M%29%5En+=+nlog%28M%29)
ln%28A%2FP%29+=+nt%2Aln%281%2Br%2Fn%29 Divide both sides by ln%281%2Br%2Fn%29
%28ln%28A%2FP%29%29%2Fln%281%2Br%2Fn%29+=+nt Finally, divide both sides by n.
t+=+%28ln%28A%2FP%29%29%2F%28n%2Aln%281%2Br%2Fn%29%29 or you could express it as...
t+=+%281%2Fn%29%28%28ln%28A%2FP%29%29%2F%28ln%281%2Br%2Fn%29%29%29