How do you expand $$\log(4x)$$ using logarithmic properties?

$$\log(4x) = \log(4) + \log(x)$$ .

How do you condense $$\log_25 + \log_2x$$ into a single logarithm?

$$\log_25 + \log_2x = \log_2(5x)$$ .

What is the value of $$\log_33$$ ?

$$\log_33 = 1$$ because any logarithm of a number to its own base is 1.

How do you rewrite $$\log_36 - \log_32$$ as a single logarithm?

$$\log_36 - \log_32 = \log_3\left(\frac{6}{2}\right) = \log_33 = 1$$ .

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 simplify $$\log_260 - \log_210$$ ?

$$\log_260 - \log_210 = \log_26$$ .

What is the value of $$\log_50 + \log_5$$ ?

$$\log_50 + \log_5 = \log_5(50 \cdot 5) = \log_5(250)$$ .

What is the base of a common logarithm?

The base of a common logarithm is 10.

What is the base of a natural logarithm?

The base of a natural logarithm is e (approximately 2.718).

How do you express $$\log_25 + \log_2x$$ in terms of multiplication?

$$\log_25 + \log_2x = \log_2(5x)$$ .

Properties of Logarithms Flashcards

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1.

FLASHCARD QUESTION

Front

What is the product property of logarithms?

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2.

FLASHCARD QUESTION

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What is the quotient property of logarithms?

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3.

FLASHCARD QUESTION

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What is the power property of logarithms?

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

7.

FLASHCARD QUESTION

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