ttyllthyx71 ttyllthyx71
  • 23-04-2020
  • Mathematics
contestada

1) Evaluate log3(20).

Round your answer to the nearest thousandth.

I need help!

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Newton9022 Newton9022
  • 25-04-2020

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]

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