Question

Dada a equação 2 ײ-¹⁴=1/1024 , logo a soma das suas soluções é :

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}2^{x^2-14} = \frac{1}{1024} \\\\2^{x^2-14} = 1024^{-1}\\\\2^{x^2-14} = (2^{10})^{-1}\\\\2^{x^2-14} = 2^{-10}\\\\x^2-14 = -10\\\\x^2 = 4\\\\x=\pm \sqrt{4}\\\\x = \pm 2\\\\\boxed{\boxed{S=\{-2,2\}}} \end{array}\right$

Espero ter ajudado. :))