Помогите с логарифмами))

1 / (log2 (x) - 4) >=logx (2)

1 / (log2 (x) - 4) ≥ logx (2)

1 / (log₂ (x) - 4) ≥1/log₂ (x)

1 / (log₂ (x) - 4) - 1/log₂ (x) ≥0

(log₂ (x) - (log₂ (x) - 4)) / ((log₂ (x) - 4) log₂ (x)) ≥0

4 / ((log₂ (x) - 4) log₂ (x)) ≥0

ОДЗ:

log₂ (x) ≠0 ⇒ x≠1

log₂ (x) - 4≠0 ⇒x≠16

x≥0

х∈[-oo; 1) U (16; +oo)

отв: х∈[0; 1) U (16; +oo)