document.write( "Question 959458: solve for x:\r
\n" ); document.write( "\n" ); document.write( "log2(8x)-log2(x^2-1)=log2(3) \n" ); document.write( "

Algebra.Com's Answer #586457 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%288x%29%29-log%282%2C%28x%5E2-1%29%29=log%282%2C%283%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%288x%29%2F%28x%5E2-1%29%29=log%282%2C%283%29%29\"$ ...if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"8x%2F%28x%5E2-1%29=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8x=3%28x%5E2-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8x=3x%5E2-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0=3x%5E2-8x-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-9x%2Bx-3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%283x%5E2-9x%29%2B%28x-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x%28x-3%29%2B%28x-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%283x%2B1%29%28x-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"%283x%2B1%29=0\"$ => $\"3x=-1\"$ => $\"x=-1%2F3\"$ (assuming a complex-valued logarithm)
\n" ); document.write( " $\"%28x-3%29=0\"$ => $\"x=3\"$ \n" ); document.write( "

\n" );