How do you find the inverse of $$y = \text{log}_4(x-1)$$ ?

Isolate $$x$$ to find the inverse: $$y = 4^x + 1$$ .

What is the value of $$\text{log}_9(81)$$ ?

$$\text{log}_9(81) = 4$$ because $$9^4 = 81$$ .

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

If $$\text{log}_b(x) = 0$$ , what is the value of $$x$$ ?

If $$\text{log}_b(x) = 0$$ , then $$x = 1$$ because $$b^0 = 1$$ .

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

$$\text{log}_b(b) = 1$$ because $$b^1 = b$$ .

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

$$\text{log}_b(1) = 0$$ because $$b^0 = 1$$ .

How do you solve $$y = \text{log}_9(x)$$ for $$x$$ ?

To solve for $$x$$ , rewrite it as $$x = 9^y$$ .

What is the domain of the logarithmic function $$y = \text{log}_b(x)$$ ?

The domain is $$x > 0$$ , as logarithms are only defined for positive numbers.

Introduction to Logarithms

Flashcard

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF.BF.B.5, HSA-SSE.B.3B, HSF-BF.B.4A

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FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the relationship between exponentials and logarithms?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

How do you convert a logarithmic equation to exponential form?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.B.4A

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

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