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val8 val8
  • 19-04-2015
  • Mathematics
Answered

log5x-1^4=1/3 solve algebraically for x

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Hippalectryon
Hippalectryon Hippalectryon
  • 19-04-2015

Assuming \(\log=\ln\) :

\(\log((5x-1)^4)=\frac{1}3\\ 4\log(5x-1)=\frac{1}3\\ 5x-1=e^{\frac{1}{12}}\\ \boxed{x=\dfrac{e^{\frac{1}{12}}+1}{5}}\)

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