document.write( "Question 694533: Log[4](2x)+log[4](x-2)=2 \n" ); document.write( "

Algebra.Com's Answer #428102 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"log%284%2C%282x%29%29%2Blog%284%2C%28x-2%29%29=+2\"$
\n" ); document.write( " $\"log%284%2C%282x%28x-2%29%29%29=+2\"$
\n" ); document.write( "exponent equiv of logs
\n" ); document.write( "2x(x-2) = 4^2
\n" ); document.write( ":
\n" ); document.write( "2x^2 - 4x = 16
\n" ); document.write( ":
\n" ); document.write( "2x^2 - 4x - 16 = 0
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x^2 - 2x - 8 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-4)(x+2) = 0
\n" ); document.write( "x = 4, the positive solution is all we use here \n" ); document.write( "

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