document.write( "Question 466762: 2^(3x+1)= 3^(x-2)
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\n" ); document.write( "I get log base 2^3^(x-2)= 3x+1 and I am stuck after this. Any suggestions?
\n" ); document.write( "Thanks so much
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Algebra.Com's Answer #320047 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
2^(3x+1)= 3^(x-2)
\n" ); document.write( "(3x+1)*log(2) = (x-2)*log(3)
\n" ); document.write( "3x*log(2) + log(2) = x*log(3) - 2log(3)
\n" ); document.write( "x*log(8) - x*log(3) = -log(2) - log(9)
\n" ); document.write( "x*log(8/3) = -log(18)
\n" ); document.write( "x = -log(18)/log(8/3)
\n" ); document.write( "x =~ -2.9469
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