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1) Evaluate log3(20).

Round your answer to the nearest thousandth.

I need help!

1 Answer

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Answer:


2.727 \text{ to the nearest thousandth}

Explanation:

I presume you were asked to evaluate
Log_(3)20

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


Log_(a)b=(Log \:b)/(Log\: a)

In a like manner,


Log_(3)20=(Log \:20)/(Log\: 3)

Evaluating this with your calculator


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

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