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

Log₅² (x - 1) - log₅² (x - 1) ³ = - 2

log₅² (x - 1) - 3log₅² (x - 1) + 2 = 0

t = log₅ (x - 1)

t² - 3t + 2 = 0

D = 9 - 8 = 1

t₁ = 0.5 (3 - 1) = 1

t₂ = 0.5 (3 + 1) = 2

log₅ (x - 1) = 1 - - - > x - 1 = 5 - - - > x₁ = 6

log₅ (x - 1) = 2 - - - > x - 1 = 25 - - - > x₂ = 26