What is the logarithmic form of $$3^x = y$$ ?

The logarithmic form is $$\text{log}_3(y) = x$$ .

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

The value is 3, since $$2^3 = 8$$ .

What is the inverse of an exponential function?

The inverse of an exponential function is a logarithmic function.

What is the domain of an exponential function?

The domain of an exponential function is all real numbers, i.e., $$(-\text{∞}, \text{∞})$$ .

What is the range of an exponential function?

The range of an exponential function is all positive real numbers, i.e., $$(0, \text{∞})$$ .

How do you find the x-intercept of an exponential function?

An exponential function has no x-intercept because it never crosses the x-axis.

What is the effect of changing the base of an exponential function?

Changing the base affects the rate of growth or decay; a larger base results in faster growth.

What is the value of $$\text{log}_3(27)$$ ?

The value is 3, since $$3^3 = 27$$ .

What is the relationship between exponential and logarithmic functions?

Exponential functions and logarithmic functions are inverses of each other; if $$y = b^x$$ , then $$x = \text{log}_b(y)$$ .

Solving & Graphing Exponential Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the base of an exponential function?

Back

Tags

CCSS.HSF-IF.C.8B

3.

FLASHCARD QUESTION

Front

How do you convert an exponential equation to logarithmic form?

Back

Tags

CCSS.HSF.BF.B.5

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.B.5

5.

FLASHCARD QUESTION

Front

How do you solve an exponential equation using logarithms?

Back

To solve an exponential equation, take the logarithm of both sides and use the properties of logarithms to isolate the variable.

6.

FLASHCARD QUESTION

Front

Back

The solution is approximately @@x eq 2.4457@@.

Tags

CCSS.HSF.LE.A.4

7.

FLASHCARD QUESTION

Front

Back

This transformation represents a horizontal shift of the logarithmic function to the left by 3 units.

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