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Log equation

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I'm trying to solve for x

x=(5/3)(log6(sqrt(108)-log6(2/sqrt(3))+3log6(9)+log6(256)))

I can get to something like

sqrt(108)*sqrt(3)*3^6*2^7 = 6^(3x/5)

But really don't see how I can get farther...

Thank you

Sam
 Oct 10, 2013

2+0 Answers

 #1
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take the natural log of both sides to get x out of the exponent. so right side becomes 3x/5 * ln(6) go from there.
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut45_expeq.htm
 Oct 10, 2013
 #2
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Thank you
 Oct 16, 2013

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