document.write( "Question 37437: Solve for n.\r
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document.write( "2log n-log (n-1)= log4 \n" );
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Algebra.Com's Answer #23161 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! From 2log n - log (n-1) = log4, we apply the laws of logarithms to get \n" ); document.write( "log [(n^2) / (n - 1)] = log 4 \n" ); document.write( "Thus we can exponentiate both sides and get \n" ); document.write( "(n^2) / (n - 1) = 4 \n" ); document.write( "Now cross multiply and solve for n... \n" ); document.write( "n^2 = 4(n - 1) \n" ); document.write( "n^2 = 4n - 4 \n" ); document.write( "n^2 - 4n + 4 = 0 \n" ); document.write( "(n - 2)^2 = 0 \n" ); document.write( "and \n" ); document.write( "n = 2 \n" ); document.write( " |