Log²снизу5(x-1)-log снизу 5(x-1)³=-2 - вопрос №375251651512 от nastyateam1 28.10.2021 02:23

Question

Алгебра: Log²снизу5(x-1)-log снизу 5(x-1)³=-2

nastyateam1 · Answer

Log₅²(x - 1) - log₅²(x - 1)³ = - 2log₅²(x - 1) - 3log₅²(x - 1) + 2 = 0t = log₅(x - 1)t² - 3t + 2 = 0D = 9 - 8 = 1t₁ = 0.5(3 - 1) = 1t₂ = 0.5(3 + 1) = 2 log₅(x - 1) = 1  --- x - 1 = 5 --- x₁ = 6log₅(x - 1) = 2  --- x - 1 = 25 --- x₂ = 26...