document.write( "Question 733151: log4(x-3)+log4(x-4)=1/2 \n" ); document.write( "

Algebra.Com's Answer #448288 by lwsshak3(11628) $\"\"$ $\"About$

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log4(x-3)+log4(x-4)=1/2
\n" ); document.write( "log4[(x-3)(x-4)]=log4(2)
\n" ); document.write( "(x-3)(x-4)=2
\n" ); document.write( "x^2-7x+12=2
\n" ); document.write( "x^2-7x+10=0
\n" ); document.write( "(x-5)(x-2)=0
\n" ); document.write( "x=5
\n" ); document.write( "or
\n" ); document.write( "x=2 (reject, (x-4)>0) \n" ); document.write( "

\n" );