document.write( "Question 93512This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r. \n" ); document.write( "

Algebra.Com's Answer #68089 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A, P, and r.
\n" ); document.write( "---------------
\n" ); document.write( "A=Pe^(rt)
\n" ); document.write( "Divide both sides by P:
\n" ); document.write( "A/P = e^(rt)
\n" ); document.write( "Take the natural log of both sides to get:
\n" ); document.write( "ln(A/P) = rt
\n" ); document.write( "Divide both sides by r:
\n" ); document.write( "(1/r)ln(A/P) = t
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );