A)
(1¹¹/₂₅)³ˣ⁺⁶=(216/125)⁴ˣ⁻²
(36/25)³ˣ⁺⁶=(6³/5³)⁴ˣ⁻²
(6²/5²)³ˣ+⁶=(6³/5³)⁴ˣ⁻²
(6/5)⁶ˣ⁺¹²=(6/5)¹²ˣ⁻⁶
6x+12=12x-6
6x=18
x=3
Ответ: х=3.
б)
(25³ˣ⁻³)²=27ˣ/3³
(5⁶ˣ⁻⁶)²=3³ˣ/3³
5¹²ˣ-¹²=3³ˣ⁻³
∛5¹²⁽ˣ⁻¹⁾=∛3³⁽ˣ⁻¹⁾
5⁴⁽ˣ⁻¹⁾=3⁽ˣ⁻¹⁾
log₅5⁴⁽ˣ⁻¹⁾=log₅3⁽ˣ⁻¹⁾
4(x-1)=(x-1)*log₅3
4(x-1)-(x-1)*log₅3=0
(x-1)(4-log₅3)=0
x-1=0
x=1.
Ответ: х=1.