теоремы логарифмирования Flashcards: 12 Cards (Grade 11)

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12 questions

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1.

FLASHCARD QUESTION

Front

Дать определение:

Логарифмом числа b по основанию a $\log_ab,\ где\ b>0,\ a>0,\ a\ne1$ называется ___степени, в который нужно возвести число__, чтобы получить число__

Back

Логарифмом $\log_ab,\ где\ b>0,\ a>0,\ a\ne1$ называется показатель степени x, в который нужно возвести число a, чтобы получить число b

$a^x=b$

2.

FLASHCARD QUESTION

Front

Закончить формулу:

$\log_ay+\log_am$

Back

$\log_a\left(y\cdot m\right)$

3.

FLASHCARD QUESTION

Front

Закончить формулу:

$\log_ad-\log_am$

Back

$\log_a\left(\frac{d}{m}\right)$

4.

FLASHCARD QUESTION

Front

Закончить формулу:

$\log_ab^k$

Back

$k\cdot\log_ab$

5.

FLASHCARD QUESTION

Front

Закончить формулу:

$a^{\log_ab}$

Back

$b$

6.

FLASHCARD QUESTION

Front

Закончить формулу:

$\log_a1$

Back

0

7.

FLASHCARD QUESTION

Front

Закончить формулу:

$\log_aa$

Back

1

8.

FLASHCARD QUESTION

Front

Число m=

Back

$\log_aa^m\ \$

или

$a^{\log_am}$

9.

FLASHCARD QUESTION

Front

Вычислите

$\log_232+\log_327-\log_33$

Back

7

10.

FLASHCARD QUESTION

Front

$\log_{15}3+\log_{15}5$

Back

1

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