document.write( "Question 764905: If $\"%283%5Er%29=%284%5Es%29=%2824%5Et%29\"$ , find an expression for $\"t\"$ in terms of $\"r\"$ and $\"s\"$ . \n" ); document.write( "

Algebra.Com's Answer #465854 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"%283%5Er%29=%284%5Es%29=%2824%5Et%29\"$
\n" ); document.write( "Find an expression for t in terms of r and s
\n" ); document.write( "24^t = 3^r
\n" ); document.write( "using natural logs
\n" ); document.write( "t*ln(24) = r*ln(3)
\n" ); document.write( "3.178t = 1.099r
\n" ); document.write( "t = $\"%281.099r%29%2F3.178\"$
\n" ); document.write( "t = .345687r
\n" ); document.write( ":
\n" ); document.write( "24^t = 4^s
\n" ); document.write( "using natural logs
\n" ); document.write( "t*ln(24) = s*ln(4)
\n" ); document.write( "3.178t = 1.386s
\n" ); document.write( "t = $\"%281.386s%29%2F3.178\"$
\n" ); document.write( "t = .4362s
\n" ); document.write( ":
\n" ); document.write( ":\r
\n" ); document.write( "
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