Question

Log₆(4) + log₆(1 / 144) =

Answer 1

Ответ: -2

Пошаговое объяснение:

Answer 2

To solve the expression, we'll simplify each logarithm separately and then combine them.

Using the logarithmic property logₐ(b) = log(c) / log(a), we can rewrite the expression as:

log₆(4) + log₆(1 / 144) = log(4) / log(6) + log(1 / 144) / log(6)

Now, let's calculate each logarithm individually:

log(4) / log(6) ≈ 0.6021 / 0.7782 ≈ 0.7734

log(1 / 144) / log(6) ≈ log(1) - log(144) / log(6) ≈ 0 - 2.1584 / 0.7782 ≈ -2.7740

Therefore, combining both logarithms, we have:

log₆(4) + log₆(1 / 144) ≈ 0.7734 + (-2.7740) ≈ -2.0006