document.write( "Question 609113: 1/2 log (base 3) of M + 3 log (base a) of N = 1 , express M in terms of N?
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Algebra.Com's Answer #383605 by lwsshak3(11628)![]() ![]() ![]() 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( " |