Respuesta :

Answer: Option C

[tex]x =8[/tex]

Step-by-step explanation:

To solve this problem use the properties of the logarithms.

We know that the inverse function of [tex]y = log_2 (x)[/tex] is [tex]y = 2 ^ x[/tex].

So when composing the function with its inverse function we have to:

[tex]2 ^ {log_2 (x)} = x[/tex].

Now apply this property on both sides of the equation

[tex]log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8[/tex]

the answer is the option C

The answer is c I believe