How do you express $$\log 6 - \log 3 + 2 \log 7$$ as a single logarithm?

The expression simplifies to $$\log 98$$ .

What is the result of $$\log_4(x+4) - \log_4(x-5)$$ ?

The result is $$\log_4\left(\frac{x+4}{x-5}\right)$$ .

How do you simplify $$3\log_9(2) + \log_9(x)$$ ?

The expression simplifies to $$\log_9(8x)$$ .

What is the definition of a logarithm?

A logarithm is the exponent to which a base must be raised to produce a given number, expressed as $$\log_b(a) = c$$ if $$b^c = a$$ .

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

How do you convert $$\log_2(8)$$ to exponential form?

The exponential form is $$2^3 = 8$$ .

What is the value of $$\log_{10}(100)$$ ?

The value is 2, since $$10^2 = 100$$ .

What is the base of common logarithms?

The base of common logarithms is 10.

What is the base of natural logarithms?

The base of natural logarithms is e (approximately 2.718).

What does $$\log_b(1)$$ equal?

$$\log_b(1) = 0$$ for any base b.

What does $$\log_b(b)$$ equal?

$$\log_b(b) = 1$$ for any base b.

Precalc - 3.3(2) Flashcard Properties of Logarithms Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quotient Rule of Logarithms?

Back

2.

FLASHCARD QUESTION

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Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the Product Rule of Logarithms?

Back

5.

FLASHCARD QUESTION

Front

What is the Power Rule of Logarithms?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the Change of Base Formula for Logarithms?

Back

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