What is the power rule for logarithms?

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

What is an asymptote in the context of exponential functions?

An asymptote is a line that a graph approaches but never touches. For example, the horizontal asymptote of the function $$f(x) = e^{-x}$$ is the x-axis (y=0).

How do you find the number of players remaining in a tournament after several rounds?

If half of the players are eliminated each round, the number of players remaining can be modeled by the function $$f(x) = 1,024 \times (0.50)^x$$ , where $$x$$ is the number of rounds.

What is the value of $$\text{log}_{10}(100)$$ ?

$$\text{log}_{10}(100) = 2$$ because $$10^2 = 100$$ .

What is the value of $$\text{log}_e(e)$$ ?

$$\text{log}_e(e) = 1$$ because $$e^1 = e$$ .

What is the change of base formula for logarithms?

The change of base formula states that $$\text{log}_b(a) = \frac{\text{log}_k(a)}{\text{log}_k(b)}$$ for any base $$k$$ .

What is the exponential growth formula?

The exponential growth formula is given by $$y = a(1 + r)^t$$ , where $$a$$ is the initial amount, $$r$$ is the growth rate, and $$t$$ is time.

What is the exponential decay formula?

The exponential decay formula is given by $$y = a(1 - r)^t$$ , where $$a$$ is the initial amount, $$r$$ is the decay rate, and $$t$$ is time.

Review for exponentials and Logarithms Unit test Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

Tags

CCSS.HSF.BF.B.5

2.

FLASHCARD QUESTION

Front

What is the relationship between exponents and logarithms?

Back

Tags

CCSS.HSF.BF.B.5

3.

FLASHCARD QUESTION

Front

What is the base of the natural logarithm?

Back

Tags

CCSS.HSF.BF.B.5

4.

FLASHCARD QUESTION

Front

What is the common logarithm?

Back

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSF.BF.B.5

6.

FLASHCARD QUESTION

Front

What is the product rule for logarithms?

Back

7.

FLASHCARD QUESTION

Front

What is the quotient rule for logarithms?

Back

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