document.write( "Question 761494: Suppose a and b are positive real numbers for which \"+log%28+a%2C+b%29=log%28+b%2C+a%29+\". If neither a nor b is 1 and a does not equal b, find the value of ab. \n" ); document.write( "
Algebra.Com's Answer #463522 by tommyt3rd(5050)\"\" \"About 
You can put this solution on YOUR website!
\"+log%28+a%2C+b%29=log%28+b%2C+a%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"+log%28a%29%2Flog%28b%29=log%28+b%29%2Flog%28+a%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28log+%28a%29%29%5E2=%28log+%28b%29%29%5E2%0D%0A\"\r
\n" ); document.write( "\n" ); document.write( "\"%28log+%28a%29%29%5E2-%28log+%28b%29%29%5E2=0%0D%0A\"\r
\n" ); document.write( "\n" ); document.write( "\"%28log+%28a%29-log%28b%29%29%28log+%28a%29%2Blog%28b%29%29=0%0D%0A\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and by our initial conditions...\r
\n" ); document.write( "\n" ); document.write( "\"%28log+%28a%29%2Blog%28b%29%29=0\"\r
\n" ); document.write( "\n" ); document.write( "or...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28ab%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10%5Elog%28ab%29=10%5E0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"ab=1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ":)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );