document.write( "Question 894864: Dear Sir/Madam, \r
\n" ); document.write( "\n" ); document.write( "Please help me with this logarithm question, \r
\n" ); document.write( "\n" ); document.write( "If logMN = logNM, M±N, M, N ˃ 0, M and N ≠ 1, then MN.\r
\n" ); document.write( "\n" ); document.write( "note: the base in logMN is M and the base in logNM is N\r
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\n" ); document.write( "\n" ); document.write( "Thank you very much! \n" ); document.write( "
Algebra.Com's Answer #542404 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
log MN = log NM, then
\n" ); document.write( "log base M (M) + log base M (N) = log base N (N) + log base N (M)
\n" ); document.write( "note log base M (M) = 1 and log base N (N) = 1, and
\n" ); document.write( "1 + log base M (N) = 1 + log base N (M)
\n" ); document.write( "subtract 1 from both sides of =
\n" ); document.write( "log base M (N) = log base N (M)
\n" ); document.write( "use change of base formula
\n" ); document.write( "log base M (N) = (log base N (N)) / (log base N (M))
\n" ); document.write( "1 / log base N (M) = log base N (M)
\n" ); document.write( "1 = (log base N (M))^2
\n" ); document.write( "1 = log base N (M)
\n" ); document.write( "implies that N = M
\n" ); document.write( "NM = N^2 or M^2
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