miacorners
miacorners miacorners
  • 11-05-2017
  • Mathematics
contestada

log(x-1)-log5=log(x+1)-logx

Respuesta :

mreijepatmat
mreijepatmat mreijepatmat
  • 15-05-2017
Re write it in so that to have one single entity on the left & same on the right

log(x-1)-log5 = log[(x-1)/5]
and log(x+1)-logx = log[(x+1)/x]
So:
log[(x-1)/5] = log[(x+1)/x] ==> (x-1)/5 = (x+1)/x
Now you can solve it: x(x-1)=5(x+1)
==> x² - 6x -5 =0
Solving this quadratic equation gives x'=3+√14  &  x" =3-√14

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