document.write( "Question 1094078: Log2 (x+1) - Log2 X= Log2 4 \n" ); document.write( "

Algebra.Com's Answer #708687 by htmentor(1343) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using the identity log(a) - log(b) = log(a/b), we have
\n" ); document.write( "log2((x+1)/x) = log2(4)
\n" ); document.write( "Eliminate the logarithm:
\n" ); document.write( "2^(log2((x+1)/x)) = (x+1)/x = 2^(log2(4)) = 2^2 = 4
\n" ); document.write( "Solve for x:
\n" ); document.write( "x+1 = 4x
\n" ); document.write( "x = 1/3 \n" ); document.write( "

\n" );