Question

Qual o valor da funcao exponencial: 4^x=256?

Answer 1

Use as propriedades dos expoentes:

$4^x=256\\ \\ 2^{2x}=2^8\\ \\ 2x=8\\ \\ \boxed{x=4}$

Answer 2

Olá !

Logaritmo de 256 na base 4.

$\begin{array}{r|l}256&4\\64&4\\16&4\\4&4\\1\end{array}$

Logo :

$\begin{array}\ 4^{X} = 4^{4}\end{array}$

Resposta :

4⁴ = 256

X = 4