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