document.write( "Question 826046: Solve log2(x-2) + log2(x+5) = 1
\n" ); document.write( "I thought that I could just cancel the log2 from each, but then I got confused.
\n" ); document.write( "

Algebra.Com's Answer #497852 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Express \"+1+\" as a log to
\n" ); document.write( "the base \"+2\"
\n" ); document.write( "
\n" ); document.write( "\"+log%28+2%2C%28x-2%29%29+%2B+log%282%2C%28x%2B5%29%29+=+log%282%2C2%29+\"
\n" ); document.write( "\"+log%28+2%2C+%28x-2%29%2A%28x%2B5%29+%29+=+log%282%2C2%29+\"
\n" ); document.write( "\"+%28x-2%29%2A%28x%2B5%29+=+2+\"
\n" ); document.write( "\"+x%5E2+%2B+3x+-+10+=+2+\"
\n" ); document.write( "\"+x%5E2+%2B+3x+-12+=+0+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+3+\"
\n" ); document.write( "\"+c+=+-12+\"
\n" ); document.write( "\"+x+=+%28-3+%2B-+sqrt%28+3%5E2+-+4%2A1%2A%28-12%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28-3+%2B-+sqrt%28+9+%2B+48+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-3+%2B-+sqrt%28+57+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-3+%2B+7.5498+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+4.5498%2F2+\"
\n" ); document.write( "\"+x+=+2.2749+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The negative square root can't be used, since that
\n" ); document.write( "gives me a log that results in a negative number
\n" ); document.write( "( \"+log%28+2%2C%28+x-2+%29%29+\" )
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+log%28+2%2C%28x-2%29%29+%2B+log%282%2C%28x%2B5%29%29+=+1+\"
\n" ); document.write( "\"+log%28+2%2C%282.2749-2%29%29+%2B+log%282%2C%282.2749%2B5%29%29+=+1+\"
\n" ); document.write( "\"+log%28+2%2C%28.2749%29%29+%2B+log%282%2C%287.2749%29%29+=+log%28+2%2C2+%29+\"
\n" ); document.write( "\"+log%28+2%2C+1.9998+%29+=+log%28+2%2C2+%29+\"
\n" ); document.write( "\"+1.9998+=+2+\"
\n" ); document.write( "close enough\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );