Решите уравнения log0,5 x + 3 logx 0,5 = 4 5 log3 x - 3 logx 3 = 2 log0,3 x + 9 logx 0,3 = 10

1)  log₀.₅X + 3* = 4
   log₀.₅² X + 3 = 4log₀.₅X
log₀.₅X = t
t² - 4t + 3 =0
t₁ = 1
t₂ = 3
log₀.₅X = 1
x = 0.5
log₀.₅X = 3
x = 0.125
ответ: 0,5; 0,125
2) 5*log₃X - 3* = 2
   5*log₃²X - 3 = 2log₃X
log₃X = t
5t² - 2t - 3=0
t₁ = 1
t₂ =

log₃X = 1
x = 3
log₃X=
x=

3) log₀.₃X + 9* = 10
log₀.₃²X + 9 = 10*log₀.₃X
log₀.₃X = t
t² - 10t + 9=0
t₁ = 1
t₂ = 9
log₀.₃X = 1
x = 0.3
log₀.₃X = 9
x = (0.3)⁹