nanamelchizedek nanamelchizedek

01-08-2020
Mathematics

contestada

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

Respuesta :

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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