Respuesta :

Answer:

[tex]2.727 \text{ to the nearest thousandth}[/tex]

Step-by-step explanation:

I presume you were asked to evaluate [tex]Log_{3}20[/tex]

To do this successfully, we apply one of the laws of logarithm which states that:

[tex]Log_{a}b=\dfrac{Log \:b}{Log\: a}[/tex]

In a like manner,

[tex]Log_{3}20=\dfrac{Log \:20}{Log\: 3}[/tex]

Evaluating this with your calculator

[tex]\dfrac{Log \:20}{Log\: 3} \approx 2.727 \text{ (to the nearest thousandth)}[/tex]