Question

Найти X
(log3 (x))^2 +5 = 2log3 (x)^3

Answer 1

(log₃ (x))^2 +5 = 2log₃ (x)^3
(log₃ (x))^2 +5 = 6log₃ x
log₃x = t
t² - 6t + 5 = 0
По т. Виета  t₁ = 1     и      t₂ = 5
a) t = 1                 б) t = 5
log₃x = 1                  log₃x = 5  
x = 3                         x = 3⁵ = 243