djvalenzuela djvalenzuela
  • 13-06-2019
  • Mathematics
contestada

Find the value of x.

log 2 x = 3

A. 5

B. 6

C. 8

D. 9

Respuesta :

luisejr77
luisejr77 luisejr77
  • 13-06-2019

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

Answer Link
yvettepuga1015 yvettepuga1015
  • 13-06-2019
The answer is c I believe
Answer Link

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