SOLUTION: Can you please help me solve this?: The compound interest formula is given by A=P(1+r/n)^nt, where A is the amount after t years generated from an initial, principal investment P,

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can you please help me solve this?: The compound interest formula is given by A=P(1+r/n)^nt, where A is the amount after t years generated from an initial, principal investment P,       Log On


   

Question 616467: Can you please help me solve this?: The compound interest formula is given by A=P(1+r/n)^nt, where A is the amount after t years generated from an initial, principal investment P, compounded n times annually at an interest rate r. Use logarithms to solve for t.
Found 2 solutions by MathTherapy, nerdybill:
Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

A=P(1+r/n)^nt, where A is the amount after t years generated from an initial, principal investment P, compounded n times annually at an interest rate r. Use logarithms to solve for t.

A+=+P%281+%2B+%28r%29%2Fn%29%5Ent
A%2FP+=+%281+%2B+%28r%29%2Fn%29%5Ent
log base %281+%2B+r%2Fn%29A%2FP+=+nt
log %28A%2FP%29%2F%281+%2B+r%2Fn%29+=+nt
t = log %28%28A%2FP%29%2F%281+%2B+r%2Fn%29%29/n

OR
t = log %28%28A%2FP%29%2F%281+%2B+r%2Fn%29%29 * 1%2Fn

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Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please help me solve this?: The compound interest formula is given by A=P(1+r/n)^nt, where A is the amount after t years generated from an initial, principal investment P, compounded n times annually at an interest rate r. Use logarithms to solve for t.
.
A=P%281%2Br%2Fn%29%5E%28nt%29
.
A%2FP+=%281%2Br%2Fn%29%5E%28nt%29
.
log%28%281%2Br%2Fn%29%2C%28A%2FP%29%29+=+nt
.
%28log%28%281%2Br%2Fn%29%2C%28A%2FP%29%29%29%2Fn+=+t