document.write( "Question 813506: $\"log%28subscript2%29%28x%29%2Blog%28subscript2%29%28x-15%29=4\"$ \n" ); document.write( "

Algebra.Com's Answer #489724 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"log%282%2C%28x%29%29%2Blog%282%2C%28x-15%29%29=4\"$
\n" ); document.write( "adding logs is multiply
\n" ); document.write( " $\"log%282%2C%28x%28x-15%29%29%29+=+4\"$
\n" ); document.write( "The exponent equiv of logs
\n" ); document.write( "x(x-15) = 2^4
\n" ); document.write( "x(x-15) = 16
\n" ); document.write( "x^2 - 15x - 16 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-16)(x+1) = 0
\n" ); document.write( "The positive solution is all we can use here
\n" ); document.write( "x = 16 \n" ); document.write( "

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