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2^(3x+4) = 3^(2x+1) solve for x? solve for x
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2^(3x+4) = 3^(2x+1) take the log of both sides log 2^(3x+4) = log 3^(2x+1) (3x+4)log(2) = (2x+1)log(3) 3xlog(2)+4log(2) = 2xlog(3) +log(3) 3xlog(2) - 2xlog(3) = log(3) - 4log(2) x(3log(2) ...
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User: 2^(3x+4) = 3^(2x+1) solve for x? solve for x

Weegy: 2^(3x+4) = 3^(2x+1) take the log of both sides log 2^(3x+4) = log 3^(2x+1) (3x+4)log(2) = (2x+1)log(3) 3xlog(2)+4log(2) = 2xlog(3) +log(3) 3xlog(2) - 2xlog(3) = log(3) - 4log(2) x(3log(2) -2log(3)) = log(3) - 4log(2) x {log 2^3 - log 3^2) = log 3 - log 2^4 x ( log(8) - log(9) ) = log 3 -log 16 x ( log (8/9) ) = log (3/16) x = [ log (3/16) ] / [ log (8/9) ]
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