document.write( "Question 476557: If 12^x =18 and 24^y =54
\n" ); document.write( "Show that 5(x-y)+xy =1 \n" ); document.write( "

Algebra.Com's Answer #326732 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
If 12^x =18 and 24^y =54
\n" ); document.write( "Show that 5(x-y)+xy =1
\n" ); document.write( "**
\n" ); document.write( "12^x =18
\n" ); document.write( "xlog12=log18
\n" ); document.write( "x=log18/log12
\n" ); document.write( "From calculator:
\n" ); document.write( "x=1.1632
\n" ); document.write( "..
\n" ); document.write( "24^y =54
\n" ); document.write( "ylog24=log54
\n" ); document.write( "x=log54/log24
\n" ); document.write( "x=1.2552
\n" ); document.write( "..
\n" ); document.write( "5(x-y)+xy
\n" ); document.write( "5(1.1632-1.2552)+(1.1632)(1.2552)
\n" ); document.write( "-0.4600+1.4600=1 \n" ); document.write( "

\n" );