Question 117944
Solve for t using natural logarithms:
{{{A = P(1+r/n)^nt}}} Divide both sides by P.
{{{A/P = (1+r/n)^nt}}} Take the natual log of both sides.
{{{ln(A/P) = ln(1+r/n)^nt}}} Apply the power rule for logarithms to the right side. ({{{log(M)^n = nlog(M)}}})
{{{ln(A/P) = nt*ln(1+r/n)}}} Divide both sides by {{{ln(1+r/n)}}}
{{{(ln(A/P))/ln(1+r/n) = nt}}}  Finally, divide both sides by n.
{{{t = (ln(A/P))/(n*ln(1+r/n))}}} or you could express it as...
{{{t = (1/n)((ln(A/P))/(ln(1+r/n)))}}}