Odpowiedź:
logₐb = n
aⁿ = b
log₁₆2 = x
16ˣ = 2
(2⁴)x = 2
2⁴ˣ = 2¹
4x = 1
x = 1/4
log₁₆2 = 1/4
[tex]\log_{16}2=x\\\\16^x=2\\\\(2^4)^x=2\\\\2^{4x}=2\\\\4x=1 \ \ /:4\\\\\boxed{x=\frac{1}{4}}[/tex]
Zatem log₁₆2 = ¹/₄
