document.write( "Question 476932: Hi,\r
\n" ); document.write( "\n" ); document.write( "If x= log of 2 to the base 15; y= log of 3 to the base 10 and z=log of 5 to the base 6 then evaluate xy+yz+zx+2xyz\r
\n" ); document.write( "\n" ); document.write( "Regards,
\n" ); document.write( "AN \n" ); document.write( "
Algebra.Com's Answer #326993 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
If x= log of 2 to the base 15; y= log of 3 to the base 10 and z=log of 5 to the base 6 then evaluate xy+yz+zx+2xyz
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\n" ); document.write( "Convert to exponential form: (base raised to log of number=number)
\n" ); document.write( "15^x=2
\n" ); document.write( "10^y=3
\n" ); document.write( "6^z=5
\n" ); document.write( "..
\n" ); document.write( "xlog15=log2
\n" ); document.write( "x=log2/log15
\n" ); document.write( "x=.2560
\n" ); document.write( "..
\n" ); document.write( "ylog10=log3
\n" ); document.write( "y=log3/log10
\n" ); document.write( "y=.4771
\n" ); document.write( "..
\n" ); document.write( "zlog6=log5
\n" ); document.write( "z=log5/log6
\n" ); document.write( "z=.8982
\n" ); document.write( "..
\n" ); document.write( "xy+yz+zx+2xyz
\n" ); document.write( "=.2560*.4771+.4771*.8982+.8982*2360+2*.2560*.4771*.8982
\n" ); document.write( "=.1221+.4285+.2120+.2194
\n" ); document.write( "=.9820 \n" ); document.write( "
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