Solve for x: $$\log_4(7) + \log_4(x - 2) = \log_4(62)$$

$$x = \frac{76}{7} + 2 = \frac{76}{7} + \frac{14}{7} = \frac{90}{7}$$ .

What is the change of base formula for logarithms?

The change of base formula states that $$\log_b(a) = \frac{\log_k(a)}{\log_k(b)}$$ for any base k.

What is the domain of a logarithmic function?

The domain of a logarithmic function is the set of positive real numbers.

What is the range of a logarithmic function?

The range of a logarithmic function is all real numbers.

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

What is a common logarithm?

A common logarithm is a logarithm with base 10, denoted as $$\log(x)$$ .

Solving Log Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product property of logarithms?

Back

2.

FLASHCARD QUESTION

Front

What is the quotient property of logarithms?

Back

3.

FLASHCARD QUESTION

Front

What is the power property of logarithms?

Back

4.

FLASHCARD QUESTION

Front

How do you convert a logarithmic equation to an exponential form?

Back

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