Question

me ajudem a resolver essa equação exponencial 16×+2=1/16

Answer 1

Olá Juraria95,

use as propriedades da exponenciação..

$a^{m+n}~\to~a^m\cdot a^n\\\\ \dfrac{1}{a}~\to~ \dfrac{1}{a^1}~\to~a^{-1}$

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$16^{x+2}= \dfrac{1}{16}\\\\ 16^x\cdot16^2=16^{-1}\\\\ 16^x= \dfrac{16^{-1}}{16^2}\\\\ 16^x=16^{-1}\cdot16^{-2}\\ 16^x=16^{-1-2}\\ \not16^x=\not16^{-3}\\\\ x=-3\\\\\\ \huge\boxed{\boxed{S=\{-3\}}}$

Tenha ótimos estudos ;D