What is the inverse of the function $$y = \text{ln}(x + 3)$$ ?

The inverse is $$y = e^x - 3$$ .

Rewrite $$\text{log}_p(t) = m$$ in exponential form.

The exponential form is $$p^m = t$$ .

What is the inverse of the function $$y = \text{log}_9(x) + 4$$ ?

The inverse is $$y = 9^{(x - 4)}$$ .

What is the product rule for logarithms?

The product rule states that $$\text{log}_b(xy) = \text{log}_b(x) + \text{log}_b(y)$$ .

What is the quotient rule for logarithms?

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

What is the power rule for logarithms?

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

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation.

What is the value of $$\text{log}_2(8)$$ ?

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

Introduction to Logarithms

Flashcard

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.5, HSF-BF.B.4A, 8.EE.A.1

Standards-aligned

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14 questions

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FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.B.4A

FLASHCARD QUESTION

Front

What is the value of any number raised to the power of 0?

Back

Any number raised to the power of 0 is always 1.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.B.4A

FLASHCARD QUESTION

Front

What is the base of the natural logarithm?

Back

Tags

CCSS.HSF.BF.B.5

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

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