Log8 1/16 - log8 32 =

Question 1

Задача Задача №369802

А

Аноним

11 февраля 2024 16:13 · публичный вопрос

А

Аноним 11 февраля 2024 16:13

Log8 1/16 - log8 32 =

Answer

log8 1/16 - log8 32 = log8 (1/16) - log8 32 = log8 (1/2^4) - log8 2^5 = log8 (1/2^4) - log8 (2^5) = log8 (1/2^4) - log8 (2^5) = log8 (2^-4) - log8 (2^5) = -4log8 2 - 5log8 2 = -4 * (log2 8) - 5 * (log2 8) = -4 * 3 - 5 * 3 = -12 - 15 = -27.

Ответ: -27.

Question 2

log8 1/16 - log8 32 =

Answer

log8 1/16 - log8 32 = log8 (1/16) - log8 32 = log8 (1/2^4) - log8 2^5 = log8 (1/2^4) - log8 (2^5) = log8 (1/2^4) - log8 (2^5) = log8 (2^-4) - log8 (2^5) = -4log8 2 - 5log8 2 = -4 * (log2 8) - 5 * (log2 8) = -4 * 3 - 5 * 3 = -12 - 15 = -27. Ответ: -27.