document.write( "Question 1077171: 2log base 2 (x-6)- log base 2(4)=4 \n" ); document.write( "

Algebra.Com's Answer #691700 by Boreal(15235) $\"\"$ $\"About$

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this is log 2{ (x-6)^2/4}=4 or
\n" ); document.write( "log 2 (x-6)^2=6, because log2 (4)=2
\n" ); document.write( "2^6=(x-6)^2
\n" ); document.write( "x^2-12x+36=64
\n" ); document.write( "x^2-12x-28=0
\n" ); document.write( "(x+2)(x-14)=0
\n" ); document.write( "x=-2 and 14
\n" ); document.write( "-2 will give a negative log, so that root is ignored.
\n" ); document.write( "x=14 ANSWER
\n" ); document.write( "check
\n" ); document.write( "2 log2 (8)-log2 (4)=2*3-2=4, which checks. \n" ); document.write( "

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