₂Odpowiedź:
zad 1
a) log₂32 = 5
b) log0,01 = - 2
c) log₃1 = 0
d) log₆1/216 = - 3
e) log(√3) 9 = 6
f) log₁₎₃81 = - 4
g) log₀,₂₅√2 = - 1/4
zad 2.107
a) log₃243 = 5
b) log₁₎₂32 = - 5
c) log1000 = 3
d) log₂₎₃81/16 = - 4
e) log₂1/1024 = - 10
f) log₁₎₆216 = - 3
g) log₅625 = 5
h) log₁₎₅1 = 0
zad 2.108
a) log₃x = - 1 to x = 3⁻¹ = 1/3
b) log₅x = 3 to x = 5³ = 125
c) log₁₎₂x = - 2 to x = (1/2)⁻² = 2² = 4
d) log₁₎₃x = - 1/2 to x = (1/3)⁻¹⁾² = 3¹⁾² = √3
zad 2.109
a)
logₓ25 = 2
x² = 25 = 5²
x = 5
b)
logₓ81 = 4
x⁴ = 81 = 3⁴
x = 3
c)
logₓ3 = 1/2
x¹⁾² = 3
√x = √3² = √9
x = 9
d)
logₓ2 = 1/3
x¹⁾³ = 2
∛x = ∛2³ = ∛8
x = 8
e)
logₓ1/9 = - 2
x⁻² =1/9
1/x² = 1/9
1/x² =1/3²
x = 3
f)
logₓ64 = - 3
x⁻³ = 64
x⁻³ = (1/4)⁻³
x = 1/4
g)
logₓ27 = 3
x³ =27 = 3³
x = 3
h)
logₓ36 = - 2
x⁻² = 36
x⁻² = (1/6)⁻²
x = 1/6
