document.write( "Question 654100: Please help me solve for n. I don't know where to begin.\r
\n" ); document.write( "\n" ); document.write( "3 x 9^2n = {3^(n+1)}^3
\n" ); document.write( "

Algebra.Com's Answer #408615 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "recall:\r
\n" ); document.write( "\n" ); document.write( "the first basic exponent rule: Whenever you multiply two terms with the same base, you can add the exponents:\r
\n" ); document.write( "\n" ); document.write( " \"%28+x%5E+m+%29+%28+x%5E+n+%29+=+x%5E%28+m+%2B+n+%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2A9%5E%282n%29+=+%283%5E%28n%2B1%29%29%5E3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2A%283%5E2%29%5E%282n%29+=+3%5E%283n%2B3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%5E1%2A3%5E%282%2A2n%29+=+3%5E%283n%2B3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%5E%284n%2B1%29+=+3%5E%283n%2B3%29\".... if bases same, exponents are same too\r
\n" ); document.write( "\n" ); document.write( "so, we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4n%2B1+=+3n%2B3\"....solve for \"n\"\r
\n" ); document.write( "\n" ); document.write( "\"4n-3n+=+3-1\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28n+=+2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );