Question

What is log squared with a base of 4 with the exponent (x^2+x) and the whole thing is equal to 0.25. Find the domain of x and find what x is equal to.

Answer 1

X = 1 , -2

Explanation:

Given in question as,

(log4(x² + x))² = 0.25

log4(x² + x) = 0.5

Applying log base property if log(a)X = b, then X =a^b

Or, x² + x = 4^0.5

x² + x = 2

x² + x - 2 = 0

x²+2x-x-2 = 0

(x + 2) (x - 1) = 0

So, x = 1 and -2 Answer