{"id":"matematyka-2009-styczen-probna-rozszerzona/zad/6","paper_id":"matematyka-2009-styczen-probna-rozszerzona","number":"6","points":4,"ptype":"open","subject":"matematyka","category":"probna","year":2009,"month":"styczen","level":"rozszerzona","text":"Zadanie 6. (4 pkt)\nPorównaj liczby\nb\na oraz a\nb , gdzie\n(\n)\n(\n)\n2\n1\n1\n2\n2\n2\n3\n2\n3\na\n⎡\n⎤\n⎢\n⎥\n⎢\n⎥\n⎣\n⎦\n,\n1\n2\n4\n81\n3\n27\n9\nb\n⋅\n⋅\n\nPróbny egzamin maturalny z matematyki\nPoziom rozszerzony\n11","answer":null,"answer_text":null,"solution":"$a^b > b^a$","image":"img/matematyka-2009-styczen-probna-rozszerzona/zad-6.webp","solution_image":null,"topics":"algebra","page_from":10,"source":"zadaniazmatur","answer_source":null,"answer_text_source":null,"solution_source":"zadaniazmatur","text_source":"ocr","source_label":"Matematyka · Matura próbna · styczeń 2009 (rozszerzona)","subject_label":"Matematyka","category_label":"Matura próbna","text_html":"

Zadanie 6. (4 pkt)
Porównaj liczby
b
a oraz a
b , gdzie
(
)
(
)
2
1
1
2
2
2
3
2
3
a
⎡
⎤
⎢
⎥
⎢
⎥
⎣
⎦
,
1
2
4
81
3
27
9
b
⋅
⋅

\n

Próbny egzamin maturalny z matematyki
Poziom rozszerzony
11

","solutions":[{"source":"zadaniazmatur","label":"zadaniazmatur.pl","kind":"text","html":"

ab>ba

"}]}