document.write( "Question 117944This question is from textbook Fund of Trig and Alg
\n" ); document.write( ": 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 \n" ); document.write( "

Algebra.Com's Answer #85967 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for t using natural logarithms:
\n" ); document.write( " $\"A+=+P%281%2Br%2Fn%29%5Ent\"$ Divide both sides by P.
\n" ); document.write( " $\"A%2FP+=+%281%2Br%2Fn%29%5Ent\"$ Take the natual log of both sides.
\n" ); document.write( " $\"ln%28A%2FP%29+=+ln%281%2Br%2Fn%29%5Ent\"$ Apply the power rule for logarithms to the right side. ( $\"log%28M%29%5En+=+nlog%28M%29\"$ )
\n" ); document.write( " $\"ln%28A%2FP%29+=+nt%2Aln%281%2Br%2Fn%29\"$ Divide both sides by $\"ln%281%2Br%2Fn%29\"$
\n" ); document.write( " $\"%28ln%28A%2FP%29%29%2Fln%281%2Br%2Fn%29+=+nt\"$ Finally, divide both sides by n.
\n" ); document.write( " $\"t+=+%28ln%28A%2FP%29%29%2F%28n%2Aln%281%2Br%2Fn%29%29\"$ or you could express it as...
\n" ); document.write( " $\"t+=+%281%2Fn%29%28%28ln%28A%2FP%29%29%2F%28ln%281%2Br%2Fn%29%29%29\"$ \n" ); document.write( "

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