Question

1) Evaluate log3(20). Round your answer to the nearest thousandth. I need help!

Answer 1

Answer:

$2.727 \text{ to the nearest thousandth}$

Step-by-step 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:

$Log_{a}b=\dfrac{Log \:b}{Log\: a}$

In a like manner,

$Log_{3}20=\dfrac{Log \:20}{Log\: 3}$

Evaluating this with your calculator

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