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
