9.
5/3 · log (осн 2/3) ⁵√8 - 3log(осн 2/3) 3 + 1/2 log(осн 2/3) 36 =
= log (осн 2/3) 8^(1/5 · 5/3) - log(осн 2/3) 3³ + log(осн 2/3) 36^(1/2) =
= log (осн 2/3) (∛8 : 3³ · √36) = log (осн 2/3) (2 · 6 : 27) =
= log (осн 2/3) (4/9) = 2
11.
log₂m = 9; log₂n = 2
m = 2⁹; n = 2²;
1) log₂(m· n³) = log₂(2⁹· 2⁶) = log₂2¹⁵ = 15
2) log₂(∛m : n²) = log₂(∛2⁹ : 2⁴) = log₂(2³/2⁴) = log₂(2⁻¹) = -1