Question

qual é o expoente
a)2=1/32
b)3=81
c)3=1/81

Answer 1

Resolução da questão, veja:

Letra “A”:

$\mathsf{2^{x} = \dfrac{1}{32}}}\\\\\\\\\ \mathsf{2^{x} = \dfrac{1}{2^{5}}}\\\\\\\\\\ \mathsf{\diagup\!\!\!\!2^{x} = \diagup\!\!\!\!2^{-5}}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\mathsf{x = -5.}}}}}}}}}}}}}}}}}}}}}}}$

Ou seja, neste primeiro caso o expoente “x” será igual a -5.

Letra “B”:

$\mathsf{3^{x} = 81}}\\\\\\\\\ \mathsf{\diagup\!\!\!\!3^{x} = \diagup\!\!\!\!3^{4}}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\mathsf{x = 4.}}}}}}}}}}}}}}}}}}}}}}}$

Ou seja, neste segundo caso o expoente “x” será igual a 4.

Letra “C”:

$\mathsf{3^{x} = \dfrac{1}{81}}}\\\\\\\\\ \mathsf{3^{x} = \dfrac{1}{3^{4}}}\\\\\\\\\\ \mathsf{\diagup\!\!\!\!3^{x} = \diagup\!\!\!\!3^{-4}}}\\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\mathsf{x = -4.}}}}}}}}}}}}}}}}}}}}}}}$

Ou seja, neste terceiro caso o expoente “x” será igual a -4.


Espero que te ajude '-'