Select equivalent expression to: log 5 14

$$\frac{\text{ln}14}{\text{ln}5}$$

Rewrite $$e^4 \\approx 54.5982$$ in logarithmic form.

$$\text{ln}54.5982 \\approx 4$$

Condense the logarithm to a single logarithm: $$\text{log}_5w + \frac{\text{log}_5x}{3} + \frac{\text{log}_5y}{3} + \frac{2\text{log}_5z}{3}$$

$$\text{log}_5(w\text{sqrt[3]{xyz^2}})$$

What is the product rule for logarithms?

$$\text{log}_b (xy) = \text{log}_b x + \text{log}_b y$$ .

What is the quotient rule for logarithms?

$$\text{log}_b \frac{x}{y} = \text{log}_b x - \text{log}_b y$$ .

What is the power rule for logarithms?

$$\text{log}_b (x^n) = n \text{log}_b x$$ .

What is the value of $$\text{log}_b b$$ ?

1, because any number raised to the power of 1 is itself.

What is the value of $$\text{log}_b 1$$ ?

0, because any number raised to the power of 0 is 1.

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

Logarithms 4.3-4.4 Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

Rewrite log_pt = m in exponential form.

Back

p^m = t

2.

FLASHCARD QUESTION

Front

Select equivalent expression to: log₅14

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

3 log₅ x - 5 log₅ y

5.

FLASHCARD QUESTION

Front

Back

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

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