document.write( "Question 429092: Solve the equation 3^(4x+2) =9^(x-1) (Hint: Write both sides as a power of 3 and then match the powers.) \r
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Algebra.Com's Answer #298121 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
Just use the fact that \"%28a%5Eb%29%5En+=+a%5E%28bn%29\". Here, we have\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%284x%2B2%29+=+9%5E%28x-1%29+=+%283%5E2%29%5E%28x-1%29+=+3%5E%282x-2%29\". The exponents must be equal, so we set 4x+2 equal to 2x-2 and solve.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B2+=+2x-2\"\r
\n" ); document.write( "\n" ); document.write( "\"2x+=+-4\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-2\".
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