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log in baza x din [tex] \frac{1}{4} [/tex] =2

Răspuns :

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



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