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

The correct option is a.

Explanation:

The given expression is,

`log(0.5)^(16)`

Use property of logarithm

`loga^b=bloga`

`log(0.5)^(16)=16* log(0.5)`

The value of log(0.5) is -0.30103.

`log(0.5)^(16)=16* -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.