Logarithms Flashcards: 15 Cards (9th Grade)

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the value of $\log_{ }1000$ ?

Back

3

2.

FLASHCARD QUESTION

Front

Expand $\log_4(3x^2)$ .

Back

$\log_43 + 2\log_4x$

3.

FLASHCARD QUESTION

Front

What is $\log_{\frac{1}{3}} 9$ ?

Back

-2

4.

FLASHCARD QUESTION

Front

What is the logarithmic form of $4^3=64$ ?

Back

$\log_464=3$

5.

FLASHCARD QUESTION

Front

Write in logarithmic form: $125^{\frac{1}{3}}=5$ .

Back

$\log_{125}5=\frac{1}{3}$

6.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

7.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

$\log_b a = \frac{\log_k a}{\log_k b}$ for any base k.

8.

FLASHCARD QUESTION

Front

What is the product rule for logarithms?

Back

$\log_b (xy) = \log_b x + \log_b y$ .

9.

FLASHCARD QUESTION

Front

What is the quotient rule for logarithms?

Back

$\log_b \left(\frac{x}{y}\right) = \log_b x - \log_b y$ .

10.

FLASHCARD QUESTION

Front

What is the power rule for logarithms?

Back

$\log_b (x^n) = n \log_b x$ .

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