41.1
a) log₂ 2 =1
2¹ = 2
б) log₁/₃ 1 =0
(1/3)⁰ =1
41.2
a) log₄ 64=3
4³ =64
б) log₂ 4√2 =2.5
2^(2.5) = 2² * 2^(0.5) = 4 * 2^(¹/₂)=4√2
41.3
a) log₂ 2⁴=4
б) log₁/₃ (1/3)⁻⁷ = -7
41.4
a) log₃ 1/27 = log₃ 3⁻³ = -3
б) log₀.₁ 0.0001=log₀.₁ 0.1⁴ =4
41.5
a) log√₇ 49 = log√₇ (√7)⁴ =4
б) log√₂ (2√8)= log√₂ √32 = log√₂ (√2)⁵ = 5
41.6
a) log√₂ 1=0
б) log₀.₅ (1/4√2) = log₁/₂ (1/√32) = log₁/₂ (1/√2⁵) =
= log₁/₂ (1/2)^(⁵/₂) = 5/2 = 2.5