Szczegółowe wyjaśnienie:
log1/27 z 3 = -1/3
b) 6, bo pieriwastek z 3 do 6 daje nam 27
Odpowiedź:
zad 2
a)
log₁₎₂₇3 = x
(1/27)ˣ = 3
27⁻ˣ = 3
(3³)⁻ˣ = 3¹
3⁻³ˣ = 3¹
- 3x = 1
3x = - 1
x = - 1/3
log₁₎₂₇3 = - 1/3
b)
log(√3)27 = x
(√3) - to podstawa logarytmu
(3¹⁾²)ˣ = 27
3¹⁾²ˣ = 3³
1/2x = 3
x = 3 : 1/2 = 3 * 2 = 6
log(√3)27 = 6
