Question

What value is equivalent to log42.1
to the nearest thousandth? Use the change of base formula to determine your answer.(1 point)

0.287

0.081

1.868

0.535

Answer 1

Use change of base: log_4(2.1) = ln(2.1)/ln(4).

ln(2.1) ≈ 0.741401, ln(4) = 2 ln(2) ≈ 1.386294, so
log_4(2.1) ≈ 0.741401 / 1.386294 ≈ 0.5348 ≈ 0.535.

Answer: 0.535.