Question

oblicz: log1, log100, log0,1, log{4}4, log{0,5}8, log{3}1/3 bardzo dziękuję za pomoc. (ps. to co w nawiasie to indeks dolny.)

Answer 1

log1 = 0,       bo 10⁰ = 1

log100 = 2,   bo 10² = 100

log0,1 = -1,   bo 10⁻¹ = 0,1

log₄4 = 1,     bo 4¹ = 4

log₀,₅8 = log₁/₂(1/2)⁻³ = -3,   bo 0,5⁻³ = (1/2)⁻³ = 8

log₃1/3 = -1,  bo 3⁻¹ = 1/3

Answer 2

Definicja logarytmu:

Własności logarytmów:

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