Question

Log0,8 5*log5 1,25 Найти значение выражения

Answer 1

Ответ:

- 1.

Пошаговое объяснение:

log(0,8) 5 • log(5) 1,25 = 1/log(5) 0,8 • log(5) 1,25 = log(5) 1,25 / log(5) 0,8 = log (0,8) 1,25 = log (4/5) 5/4 = - 1.

Второй способ:

log(0,8) 5 • log(5) 1,25 = lg5/lg0,8 • lg1,25/lg5 = lg1,25/lg0,8 = lg5/4/lg4/5 = - lg4/5 / lg4/5 = - 1.

Ответ: - 1.

Answer 2

To find the value of the expression log0.8 5*log5 1.25, let's break it down step by step:

1. Evaluate the logarithm base 5 of 1.25: log5 1.25 ≈ 0.2 (approximately)

2. Multiply the result from step 1 by 5: 5 * 0.2 = 1

3. Finally, evaluate the logarithm base 0.8 of the result from step 2: log0.8 1 = 0

Therefore, the value of the expression log0.8 5*log5 1.25 is 0.