Question

log in baza x din $\frac{1}{4}$ =2

Answer 1

x²=1/4
x²-1/4=0
(x-1/2)(x+1/2)=0
x₁=1/2
x₂=-1/2

Answer 2

   
[tex]\displaystyle\\ \log_x \left(\frac{1}{2} \right) = 2\\\\ \Longrightarrow~~~x^2 = \frac{1}{2}\\\\ \Longrightarrow~~~x= \sqrt{\frac{1}{2}}= \frac{1}{\sqrt{2}} = \boxed{\frac{\sqrt{2}}{2}} [/tex]