Odpowiedź:
1.
3log₃6 - 2log₃4 = log₃6³- log₃4²= log₃216 - log₃16 = log₃(216/16)= log₃13,5
Odp: A
2.
a = log₃5
log₃(125/81) = log₃125 - log₃81 = log₃5³ - log₃3⁴ = 3log₃5 - 4log₃3 =
= 3a - 4 * 1 = 3a - 4
3.
f(x) = aˣ , P = ( - 1, 3 )
3 = a⁻¹ = 1/a
3a= 1
a = 1/3
f(x) = (1/3)ˣ
Wykres w załączniku
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Odpowiedź:
1.
3log₃6 - 2log₃4 = log₃6³- log₃4²= log₃216 - log₃16 = log₃(216/16)= log₃13,5
Odp: A
2.
a = log₃5
log₃(125/81) = log₃125 - log₃81 = log₃5³ - log₃3⁴ = 3log₃5 - 4log₃3 =
= 3a - 4 * 1 = 3a - 4
3.
f(x) = aˣ , P = ( - 1, 3 )
3 = a⁻¹ = 1/a
3a= 1
a = 1/3
f(x) = (1/3)ˣ
Wykres w załączniku