document.write( "Question 570869: solve each equation. Round to four decimal places.
\n" ); document.write( "2^n=sqrt(3^n-2) \n" ); document.write( "

Algebra.Com's Answer #367818 by Alan3354(69443) $\"\"$ $\"About$

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$\"2%5En=sqrt%283%5E%28n-2%29%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"2%5E%282n%29+=+3%5E%28n-2%29\"$ assuming n-2 is the exponent. Use parentheses.
\n" ); document.write( "2n*log(2) = (n-2)*log(3) = nlog(3) - log(9)
\n" ); document.write( "2n*log(2) - n*log(3) = -log(9)
\n" ); document.write( "n*(log(3) - 2log(2)) = log(9)
\n" ); document.write( "n = log(9)/log(3/4)
\n" ); document.write( "n =~ -7.6377
\n" ); document.write( " \n" ); document.write( "

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