keyonnaellison keyonnaellison
  • 14-03-2018
  • Mathematics
contestada

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

Respuesta :

CinnamonBun8614 CinnamonBun8614
  • 14-03-2018
the answer for your question is a. -4

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DelcieRiveria DelcieRiveria
  • 03-12-2018

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.

Answer Link

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