document.write( "Question 740883: Solve the following logarithmic equation: \r
\n" ); document.write( "\n" ); document.write( "log(9)(x-6)+log(9)(x+2)=1 \n" ); document.write( "

Algebra.Com's Answer #451802 by lwsshak3(11628) $\"\"$ $\"About$

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Solve the following logarithmic equation:
\n" ); document.write( "log(9)(x-6)+log(9)(x+2)=1
\n" ); document.write( " $\"log%289%2C%28x-6%29%29%2Blog%289%2C%28x%2B2%29%29=1\"$
\n" ); document.write( " $\"log%289%2C%28x-6%29%28x%2B2%29%29=1\"$
\n" ); document.write( " $\"log%289%2C%28x-6%29%28x%2B2%29%29=log%289%2C%289%29%29\"$
\n" ); document.write( "(x-6)(x+2)=9
\n" ); document.write( "x^2-4x-12-9=0
\n" ); document.write( "x^2-4x-21=0
\n" ); document.write( "(x-7)(x+3)=0
\n" ); document.write( "x=-3 (reject, (x+2)>0)
\n" ); document.write( "x=7 \n" ); document.write( "

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