1) log₂x = 3; x = 2³; x = 8; ОДЗ: x > 0 2) log₃x = - 1; x = 3⁻¹; x = 1/3; ОДЗ: x > 0 3) log₅(2x) = 1; 2x = 5; x = 2,5; ОДЗ: x > 0 ;4) lo₇x = 0; x = 7⁰; x = 1; ОДЗ: x > 0 5) log₂(-x) = - 3; - x = 2⁻³; x = - 1/ 8; ОДЗ: - x < 0; x > 0 6) lg(x - 1)² = 0; (x - 1)² = 10⁰ = 1; x² - 2x + 1 = 1; x² - 2x = 0; x(x - 2) = 0; x = 0; x = 2; ОДЗ:( x - 1)² > 0; x > 1 ⇒ x = 0 - посторонний, так как ∉ ОДЗ ⇒ x = 2; 7) log₂log₃x² = 1; log₃x² = 4; x² = 3⁴; x² = 81; x = 9; x = - 9; ОДЗ: x > 0; ⇒ x = -9 - посторонний: Ответ: x = 9, 8) log₃log₂log₂x = 0; ОДЗ: x >0; log₂log₂x = 3⁰ = 1; log₂x = 2; x = 2² = 4. Ответ: x = 4