document.write( "Question 1118207: If $\"log%289%2C5%29=x\"$ and $\"log%2827%2C2%29=y\"$ , express $\"log%283%2C100%29\"$ in terms of x and y \n" ); document.write( "

Algebra.Com's Answer #733453 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%289%2C5%29=x\"$
\n" ); document.write( " $\"9%5Ex=5\"$
\n" ); document.write( " $\"%283%5E2%29%5Ex=5\"$
\n" ); document.write( " $\"3%5E%282x%29=5\"$
\n" ); document.write( "-
\n" ); document.write( " $\"log%2827%2C2%29=y\"$
\n" ); document.write( " $\"%283%5E3%29%5Ey=2\"$
\n" ); document.write( " $\"3%5E%283y%29=2\"$
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\n" ); document.write( "Take log of each side for each, and find x and y from those.\r
\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "Should be found $\"system%28x=%281%2F2%29log%283%2C5%29%2Cand%2Cy=%281%2F3%29log%283%2C2%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The Question: $\"log%283%2C100%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%283%2C2%5E2%29%2Blog%283%2C5%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2Alog%283%2C2%29%2B2%2Alog%283%2C5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2A3y%2B2%2A2x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%284x%2B6y%29\"$ \n" ); document.write( "

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