Question

Approximate the logarithm using the properties of logarithms, given

logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
logb 2/3

Answer 1

-0.2084

Explanation:

`log_(b)( (2)/(3) ) \\ \\ = log_(b)(2) - log_(b)(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084`