nanamelchizedek nanamelchizedek
  • 01-08-2020
  • Mathematics
contestada

Solve for x in the equation X^2-16^x=0

Respuesta :

mhanifa
mhanifa mhanifa
  • 01-08-2020

Answer:

-1/2

Step-by-step explanation:

  • x^2- 16^x = 0
  • x^2 =  16^x
  • x^2 = 4^2x
  • x = 4^x
  • logx = xlog4
  • 1/x×logx = log4
  • log(x^1/x) = log4
  • x^(1/x) = 4

At this point you can guess and try. And it seems that x = -1/2, lets check:

  • (-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4

So, this is correct: x= -1/2

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