Lg (x-2) ^2=2lg2

Lg^2x=2-log3x

Log5 (3x-2) = 2

Lg (x-2) ²=2*lg2 ОДЗ: x-2>0 x>2

lg (x-2) = lg2²

x-2=4

x=6.

lg₃²x=2-log₃x ОДЗ: x>0

log₃x=t ⇒

t²=2-t

t+t-2=0 D=9

t₁=1 log₃x=1 x₁=3

t₂=-2 log₃x=-2 x₂=1/9.

log₅ (3x-2) = 2 ОДЗ: 3x-2>0 x>2/3

log₅ (3x-2) = log₅25

3x-2=25

3x=27

x=9.