Question

Resolva a equação log x 16 = -4

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}log_x\ 16=-4\\\\x^{-4} = 16\\\\ \frac{1}{x^4} = 16\\\\16x^4 = 1\\\\x^4 = \frac{1}{16}\\\\x = \sqrt[4]{ \frac{1}{16} }\\\\\boxed{\boxed{x = \frac{1}{2}}} \end{array}\right$

Espero ter ajudado. :))

Answer 2

Resolva a equação log x 16 = -4

x^-4 = 16

(x^-1)^4 = 2^4
   x^-1 = 2
    1 = 2
    x
  2x = 1
   
  x = 1
        2