3) 0.535
Using the change of base formula, log_a (b) can be rewritten as log_c (b) / log_c (a), where c can be any base.
Therefore, log_4 (2.1) can be rewritten as ln(2.1) / ln(4) (where ln represents the natural logarithm).
Calculating ln(2.1) ≈ 0.741, and ln(4) ≈ 1.386.
Therefore, log_4 (2.1) ≈ ln(2.1) / ln(4) ≈ 0.741 / 1.386 ≈ 0.534969.
Rounded to the nearest thousandth, log_4 (2.1) ≈ 0.535.
So, the answer is 3) 0.535.
What value is equivalent to log_4 (2.1) to the nearest thousandth? Use the change of base formula to determine your answer. (1 point)
1)0.287
2)1.868
3) 0.535
4) 0.081
1 answer