document.write( "Question 561221: log((x+3)(x-8))+ log((x+3)\(x-8)) = 2\r
\n" ); document.write( "\n" ); document.write( "I tried but i cannot solve this equation, whose solution is suppose to be x=-13
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Algebra.Com's Answer #364331 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
log((x+3)(x-8))+ log((x+3)\(x-8)) = 2
\n" ); document.write( "log((x+3)+log(x-8))+ log((x+3)-log(x-8)) = 2
\n" ); document.write( "log(x-8) cancels out
\n" ); document.write( "log(x+3)+log(x+3) = 2
\n" ); document.write( "2log(x+3)=2
\n" ); document.write( "log[(x+3)^2]=2
\n" ); document.write( "convert to exponential form: base(10) raised to log of number(2)=number((x+3)^2)
\n" ); document.write( "10^2=(x+3)^2=x^2+6x+9
\n" ); document.write( "x^2+6x-91=0
\n" ); document.write( "(x+13)(x-7)=0
\n" ); document.write( "x+13=0
\n" ); document.write( "x=-13
\n" ); document.write( "or
\n" ); document.write( "x-7=0
\n" ); document.write( "x=7 (reject, (x+3)(x-8)>0)
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