document.write( "Question 93116: How do i evaluate the following:\r
\n" ); document.write( "\n" ); document.write( "log3 81
\n" ); document.write( "log4 256
\n" ); document.write( "log2 (1/32)
\n" ); document.write( "log5 1
\n" ); document.write( "log3 (-1)\r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "thanks
\n" ); document.write( "Lucy
\n" ); document.write( "

Algebra.Com's Answer #67750 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do i evaluate the following?
\n" ); document.write( "Comment: log is just another name for \"exponent\" or \"power\"
\n" ); document.write( "--------------
\n" ); document.write( "log3 81
\n" ); document.write( "Let the answer be \"x\"
\n" ); document.write( "Then x= log3 81
\n" ); document.write( "So x is the exponent of 3 that gives you 81
\n" ); document.write( "3^x = 81
\n" ); document.write( "3^x = 3^4
\n" ); document.write( "x=4
\n" ); document.write( "log3 81 = 4\r
\n" ); document.write( "\n" ); document.write( "---------------------
\n" ); document.write( "log4 256
\n" ); document.write( "Similarly
\n" ); document.write( "x = log4 256
\n" ); document.write( "4^x = 256
\n" ); document.write( "4^x = 4^4
\n" ); document.write( "x = 4
\n" ); document.write( "--------------
\n" ); document.write( "log2 (1/32)
\n" ); document.write( "2^x = (1/32)
\n" ); document.write( "2^x = 2^-5
\n" ); document.write( "x = -5
\n" ); document.write( "---------------
\n" ); document.write( "log5 1
\n" ); document.write( "5^x = 1
\n" ); document.write( "5^x = 5^0
\n" ); document.write( "x=0
\n" ); document.write( "-------------
\n" ); document.write( "log3 (-1)
\n" ); document.write( "3^x = -1
\n" ); document.write( "No such x exists.
\n" ); document.write( "No solution.
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------
\n" ); document.write( "
\n" );