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Теоремы логарифмирования

Authored by Ирина Кочеткова mol_ira@rambler.ru

Mathematics

11th Grade

Used 17+ times

Теоремы логарифмирования
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30 questions

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1.

MATCH QUESTION

1 min • 1 pt

Найдите для каждой формулы правильное продолжение

a mn\sqrt[n]{a^{\ m}}

alog⁡a ua^{\log_a\ u}

1

log⁡a (m⋅k)\log_a\ \left(m\cdot k\right)

uu

log⁡aa\log_aa

log⁡a m+log⁡a k\log_a\ m+\log_a\ k

amna^{\frac{m}{n}}

0

log⁡a1\log_a1

2.

MATCH QUESTION

1 min • 1 pt

Найдите для каждой формулы правильное продолжение

m⋅log⁡abm\cdot\log_ab

log⁡a (mn)\log_a\ \left(\frac{m}{n}\right)

log⁡a am\log_a\ a^m

mm

am⋅ana^m\cdot a^n

log⁡a bm\log_a\ b^m

log⁡a m−log⁡a n\log_a\ m-\log_a\ n

am+na^{m+n}

3.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

log⁡6144+log⁡6(32)\log_6144+\log_6\left(\frac{3}{2}\right)

(a)  

4.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

log⁡1218+log⁡128\log_{12}18+\log_{12}8

(a)  

5.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

log⁡217−log⁡2(178)\log_217-\log_2\left(\frac{17}{8}\right)

(a)  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt


Найти значение выражения: log⁡0,770−log⁡0,749\log_{0,7}70-\log_{0,7}49

119
3430
-1
0

7.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

log⁡2160−log⁡25\log_2160-\log_25

(a)  

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