document.write( "Question 373206: log[4](x)+log[8](x)=1 \n" ); document.write( "

Algebra.Com's Answer #265714 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%284%2C%28x%29%29%2Blog%288%2C%28x%29%29=1\"$
\n" ); document.write( " $\"y1%2By2=1\"$
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\n" ); document.write( " $\"y1=log%284%2C%28x%29%29\"$
\n" ); document.write( " $\"4%5Ey1=x\"$
\n" ); document.write( " $\"%282%5E2%29%5Ey1=x\"$
\n" ); document.write( " $\"2%5E%282%2Ay1%29=x\"$
\n" ); document.write( ".
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\n" ); document.write( " $\"y2=log%288%2C%28x%29%29\"$
\n" ); document.write( " $\"8%5Ey2=x\"$
\n" ); document.write( " $\"%282%5E3%29%5Ey2=x\"$
\n" ); document.write( " $\"2%5E%283%2Ay2%29=x\"$
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\n" ); document.write( " $\"2%5E%282%2Ay1%29=2%5E%283%2Ay2%29\"$
\n" ); document.write( " $\"2y1=3%2Ay2%29\"$
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\n" ); document.write( "Substitute,
\n" ); document.write( " $\"y1%2By2=1\"$
\n" ); document.write( " $\"2y1%2B2y2=2\"$
\n" ); document.write( " $\"3y2%2B2y2=2\"$
\n" ); document.write( " $\"5y2=2\"$
\n" ); document.write( " $\"y2=2%2F5\"$
\n" ); document.write( " $\"y1=3%2F5\"$
\n" ); document.write( ".
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\n" ); document.write( " $\"x=4%5E%28y1%29=8%5E%28y2%29\"$
\n" ); document.write( " $\"highlight%28x=root%285%2C4%5E%283%29%29=root%285%2C8%5E%282%29%29%29\"$ or approximately,
\n" ); document.write( " $\"x=2.2974\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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