Respuesta :

the answer for your question is a. -4

Answer:

The correct option is a.

Step-by-step explanation:

The given expression is,

[tex]log(0.5)^{16}[/tex]

Use property of logarithm

[tex]loga^b=bloga[/tex]

[tex]log(0.5)^{16}=16\times log(0.5)[/tex]

The value of log(0.5) is -0.30103.

[tex]log(0.5)^{16}=16\times -0.30103[/tex]

[tex]log(0.5)^{16}=-4.81648[/tex]

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.