document.write( "Question 609113: 1/2 log (base 3) of M + 3 log (base a) of N = 1 , express M in terms of N?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #383605 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
1/2 log (base 3) of M + 3 log (base a) of N = 1 , express M in terms of N
\n" ); document.write( "1/2log3(M)+3loga(N)=1
\n" ); document.write( "convert to base 3
\n" ); document.write( "1/2log3(M)+log3(N^3)/log3(a)=1
\n" ); document.write( "place under single log
\n" ); document.write( "log3[√M*(N^(3/log3(a))]=1
\n" ); document.write( "convert to exponential form
\n" ); document.write( "3^1=√M*(N^(3/log3(a))=3
\n" ); document.write( "√M=3/(N^(3/log3(a))
\n" ); document.write( "square both sides
\n" ); document.write( "M=9/(N^(3/log3(a))^2
\n" ); document.write( "M=9/(N^(6/log3(a))
\n" ); document.write( "
\n" );