Question

What value is equivalent to log214
to the nearest thousandth? Use the change of base formula to determine your answer.(1 point)

0.573

0.845

0.263

3.807

Answer 1

Use the change-of-base formula: log₂(14) = ln(14)/ln(2).

ln(14) ≈ 2.63905733, ln(2) ≈ 0.69314718, so log₂(14) ≈ 2.63905733 / 0.69314718 ≈ 3.80735492.

Rounded to the nearest thousandth: 3.807.