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

The value of $$\text{log}_b(b)$$ is 1, because any number raised to the power of 1 is itself.

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

The value of $$\text{log}_b(1)$$ is 0, because any number raised to the power of 0 is 1.

How do you condense $$\frac{1}{2}\text{log}_3x + 5\text{log}_3y$$ ?

You can condense it to $$\text{log}_3igg(\frac{\text{sqrt}{x}}{y^5}igg)$$ .

How do you condense $$\text{log}_3(p-2) - \text{log}_3(x)$$ ?

You can condense it to $$\text{log}_3igg(\frac{p-2}{x}igg)$$ .

What is the inverse of logarithmic functions?

The inverse of logarithmic functions are exponential functions.

What is the base of a logarithm?

The base of a logarithm is the number that is raised to a power to obtain a certain value. For example, in $$\text{log}_b(a)$$ , $$b$$ is the base.

What is the significance of the base in logarithms?

The base determines the scale of the logarithm and affects the growth rate of the logarithmic function.

How do you evaluate $$\text{log}_2(8)$$ ?

You evaluate it as $$3$$ , because $$2^3 = 8$$ .

Properties of Logarithms Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

2.

FLASHCARD QUESTION

Front

What is the relationship between logarithms and exponents?

Back

3.

FLASHCARD QUESTION

Front

What is the product property of logarithms?

Back

4.

FLASHCARD QUESTION

Front

What is the quotient property of logarithms?

Back

5.

FLASHCARD QUESTION

Front

What is the power property of logarithms?

Back

6.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

7.

FLASHCARD QUESTION

Front

Back

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