document.write( "Question 37437: Solve for n.\r
\n" ); document.write( "\n" ); document.write( "2log n-log (n-1)= log4
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Algebra.Com's Answer #23161 by fractalier(6550)\"\" \"About 
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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
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