document.write( "Question 1157218: log2(x + 1) + log2(x + 2) = log2 6 \n" ); document.write( "
Algebra.Com's Answer #780050 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+log%28+2%2C+x%2B1+%29+%2B+log%28+2%2C+x%2B2+%29+=+log%28+2%2C+6+%29+\"
\n" ); document.write( "\"+log%28+2%2C+%28x%2B1+%29%2A%28x%2B2%29+%29+=+log%28+2%2C6+%29+\"
\n" ); document.write( "\"+%28+x%2B1+%29%2A%28+x%2B2+%29+=+6+\"
\n" ); document.write( "\"+x%5E2+%2B+3x+%2B+2+=+6+\"
\n" ); document.write( "\"+x%5E2+%2B+3x+-+4+=+0+\"
\n" ); document.write( "complete the square
\n" ); document.write( "\"+x%5E2+%2B+3x+%2B+%28+3%2F2+%29%5E2+=+%28+3%2F2+%29%5E2+%2B+4+\"
\n" ); document.write( "\"+x%5E2+%2B+3x+%2B+9%2F4+=+9%2F4+%2B+16%2F4+\"
\n" ); document.write( "\"+%28+x+%2B+%283%2F2%29+%29%5E2+=+25%2F4+\"
\n" ); document.write( "\"+%28+x+%2B+%283%2F2%29+%29%5E2+=+%28+5%2F2+%29%5E2+\"
\n" ); document.write( "\"+x+%2B+3%2F2+=+5%2F2+\"
\n" ); document.write( "\"+x+=+1+\"
\n" ); document.write( "and
\n" ); document.write( "\"+x+%2B+3%2F2+=+-5%2F2+\"
\n" ); document.write( "\"+x+=+-4+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check answers:
\n" ); document.write( "\"+log%28+2%2C+x%2B1+%29+%2B+log%28+2%2C+x%2B2+%29+=+log%28+2%2C+6+%29+\"
\n" ); document.write( "\"+log%28+2%2C+1%2B1+%29+%2B+log%28+2%2C+1%2B2+%29+=+log%28+2%2C+6+%29+\"
\n" ); document.write( "\"+log%28+2%2C2+%29+%2B+log%28+2%2C3+%29+=+log%28+2%2C6+%29+\"
\n" ); document.write( "\"+log%28+2%2C+2%2A3+%29+=+log%28+2%2C6+%29+\"
\n" ); document.write( "\"+log%28+2%2C6+%29+=+log%28+2%2C6+%29+\"
\n" ); document.write( "OK
\n" ); document.write( "I can't use the negative solution: that says that
\n" ); document.write( "2 raised to some power gives a negative result-
\n" ); document.write( "not valid.
\n" ); document.write( "get a 2nd opinion if needed
\n" ); document.write( "
\n" ); document.write( "
\n" );