document.write( "Question 998702: Find the largest value of x that satisfies: \r
\n" ); document.write( "\n" ); document.write( "log(base2)(x^2)-log(base2)(x+4)=2\r
\n" ); document.write( "\n" ); document.write( "I was not able to find the answer, here are my step I tried to solve it.\r
\n" ); document.write( "\n" ); document.write( "log(base2)(x^2)-log(base2)(x+4)=2
\n" ); document.write( "log(base2) (x^2)/(x+4)=2
\n" ); document.write( "2^2= (x^2)/(x+4)
\n" ); document.write( "4= (x^2)/(x+4)
\n" ); document.write( "4(x+4)=x^2
\n" ); document.write( "4x+16=x^2
\n" ); document.write( "sqrt(4x+16)=x
\n" ); document.write( "2x+4=x
\n" ); document.write( "x=-4
\n" ); document.write( "

Algebra.Com's Answer #616452 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
log(base2)(x^2)-log(base2)(x+4)=2\r
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\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x%5E2%29%29-log%282%2C%28x%2B4%29%29=2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x%5E2%2F%28x%2B4%29%29%29=2\"
\n" ); document.write( "Base of the exponent AND the logarithm both are 2.
\n" ); document.write( "Put into exponential form.\r
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\n" ); document.write( "\n" ); document.write( "\"2%5E2=x%5E2%2F%28x%2B4%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2=4%28x%2B4%29\"
\n" ); document.write( "\"x%5E2=4x%2B16\"
\n" ); document.write( "\"x%5E2-4x-16=0\"
\n" ); document.write( "\"x=%284%2B-+sqrt%2816%2B4%2A16%29%29%2F2\"
\n" ); document.write( "\"x=%284%2B-+4sqrt%281%2B4%29%29%2F2\"
\n" ); document.write( "\"highlight%28x=2%2B-+2sqrt%285%29%29\"
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