Question

What is the value of log0.5^16? a.–4.00 b.–0.25 c.1.51 d.2.41

Answer 1

The answer for your question is a. -4

Answer 2

Answer:

The correct option is a.

Step-by-step explanation:

The given expression is,

$log(0.5)^{16}$

Use property of logarithm

$loga^b=bloga$

$log(0.5)^{16}=16\times log(0.5)$

The value of log(0.5) is -0.30103.

$log(0.5)^{16}=16\times -0.30103$

$log(0.5)^{16}=-4.81648$

The value of given expression is -4.81648.

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