Question

me ajuda por favor matemática

Answer 1

$(0,25)^x=\sqrt{2}\\\\(\frac{25}{100})^x=2^{\frac{1}{2}}\\\\(\frac{1}{4})^x=2^{\frac{1}{2}}\\\\(2^{-2})^x=2^{\frac{1}{2}}}\\\\2^{-2x}=2^{\frac{1}{2}}\\\\-2x=\frac{1}{2}\\\\\boxed{x=-\frac{1}{4}}$

Answer 2

(0,25)^x = √2
   (1/4)^x = 2^1/2
      (2^-2)^x = 2^1/2
         -2x = 1 
                  2
  - 4x = 1(-1)
   4x = - 1

   x =  -  1 
             4