Question 616467

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(1 + (r)/n)^nt}}}
{{{A/P = (1 + (r)/n)^nt}}}

log base {{{(1 + r/n)}}}{{{A/P = nt}}}

log {{{(A/P)/(1 + r/n) = nt}}}

t = log {{{((A/P)/(1 + r/n))}}}/n


OR 

t = log {{{((A/P)/(1 + r/n))}}} * {{{1/n}}}


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