Решить неравенство log1/4(x+1)>-3/2

Question

Решить неравенство log1/4(x+1)>-3/2

Answer 1

(1/4)⁻³/² = 4³/² = (2²)³/² = 2³ = 8

log₁/₄(x+1)>log₁/₄ 8
x+1< 8
x < 8 - 1
x < 7
x∈ ] -∞ ; 7]
Ответ:  ] -∞ ; 7]