Question

1) Log5 1/7-log√5 26/√7 2) 8 в степени log4 3-1

Answer 1

Решение задания приложено. 1. Обращаю внимание, что я решила с "26", красным изменила на 25. Проверьте, не ошибка ли у Вас в условии. 2. Я решила с учётом того, что - 1 в степени. Сравните с условием.

Answer 2

I hope this helps you

Answer 3

1. Using the properties of logarithms, we can simplify the expression as follows:

log5(1/7) - log√5(26/√7) = log5(1/7) - (1/2)log5(26/7) (since √5 = 5^(1/2) and √7 = 7^(1/2)) = log5(1/7) - (1/2)(log5(26) - log5(7)) = log5(1/7) - (1/2)log5(26) + (1/2)log5(7) = log5(1/7√26^1/2) + log5(√7^1/2/26^1/2) = log5(√7/26) - log5(7) = log5(√7/26*1/7) = log5(√7/182)

Therefore, the expression simplifies to log5(√7/182).

2. We can simplify this expression using the property that a^(loga x) = x:

8^(log4(3-1)) = (2^3)^(log4(2)) = 2^(3log4(2)) = 2^(log4(2^3)) = 2^(log4(8)) = 2^(3/2) = √(2^3)^2 = 2^3 = 8

Therefore, the expression simplifies to 8.