Evaluate $$\text{log}_2(8)$$ .

$$\text{log}_2(8) = 3$$ because $$2^3 = 8$$ .

Evaluate $$\text{log}_3(27)$$ .

$$\text{log}_3(27) = 3$$ because $$3^3 = 27$$ .

What is the product rule for logarithms?

The product rule states that $$\text{log}_b(m \times n) = \text{log}_b(m) + \text{log}_b(n)$$ .

What is the quotient rule for logarithms?

The quotient rule states that $$\text{log}_bigg(\frac{m}{n}igg) = \text{log}_b(m) - \text{log}_b(n)$$ .

What is the power rule for logarithms?

The power rule states that $$\text{log}_b(m^p) = p \times \text{log}_b(m)$$ .

Convert $$\text{log}_5(25) = 2$$ to exponential form.

The exponential form is $$5^2 = 25$$ .

What is the value of $$\text{log}_{10}(1000)$$ ?

$$\text{log}_{10}(1000) = 3$$ because $$10^3 = 1000$$ .

If $$\text{log}_b(1) = 0$$ , explain why this is true.

This is true because any base raised to the power of 0 equals 1, i.e., $$b^0 = 1$$ .

Resource Library

Math

Logarithms

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.5

Standards-aligned

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FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Convert the logarithmic equation log_b(x) = y to exponential form.

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the base of a common logarithm?

Back

The base of a common logarithm is 10.

FLASHCARD QUESTION

Front

What is the base of a natural logarithm?

Back

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

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

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