Quiz about Exponential and Logarithmic Equations Quiz

Question 1

1. Write each exponential equation in logarithmic form.
$$4^{3x}=11$$

Accepted Answer

$$\log_411=3x$$

Answer

$$\log_43x=11$$

Answer

$$\log_{3x}4=11$$

Answer

$$\log_{11}3x=4$$

Question 2

2. Write the exponential equation in logarithmic form.

$$8^{x-1}=33$$

Accepted Answer

$$\log_83=x-1$$

Answer

$$\log_3x-1=8$$

Answer

$$\log_38=x-1$$

Answer

$$\log_8x-1=3$$

Question 3

3. Write the exponential equation in logarithmic form.
$$e^{2x}=7$$

Accepted Answer

$$\ln7=2x$$

Answer

$$\ln2x=7$$

Answer

$$\log2x=7$$

Answer

$$\log7=2x$$

Question 4

4. Write the exponential equation in logarithmic form.

$$13=2^{5x}$$

Accepted Answer

$$\log_213=5x$$

Answer

$$\log_{13}5x=2$$

Answer

$$\log_{5x}2=13$$

Answer

$$\log_25x=13$$

Question 5

5. Write the logarithmic equation in exponential form.
$$\log_5x=9$$

Accepted Answer

$$5^9=x$$

Answer

$$9^x=5$$

Answer

$$9^x=5$$

Answer

$$9^5=x$$

Question 6

6. Write the logarithmic equation in exponential form.
$$\log2x=-3$$

Accepted Answer

$$10^{-3}=2x$$

Answer

$$10^{2x}=-3$$

Answer

$$2x^{-3}=10$$

Answer

- $$-3^{2x}=10$$

Question 7

7. Write the logarithmic equation in exponential form.
$$6=\log_3(x+5)$$

Accepted Answer

$$x+5=3^6$$

Answer

$$3=\left(x+5\right)^6$$

Answer

$$6=3^{\left(x+5\right)}$$

Answer

$$x+5=6^3$$

Question 8

8. Write the logarithmic equation in exponential form.
$$\ln(4x)=2$$

Accepted Answer

$$e^2=4x$$

Answer

$$e^{4x}=2$$

Answer

$$\log4x=2$$

Answer

$$\log2=4x$$

Question 9

34. What is the domain of $$f^{-1}$$ ?

Accepted Answer

[-4,7]

Answer

[-5,12]

Answer

[-4,12]

Answer

[-5,7]

Question 10

35. What is the range of $$f^{-1}$$ ?

Accepted Answer

[-5,12]

Answer

[-4,7]

Answer

[-4,12]

Answer

[-5,7]

Question 11

36. What is the maximum value of g?

Accepted Answer

5

Answer

1/5

Answer

1/4

Answer

4

Question 12

37. What is the value of $$f\left(h^{-1}(2)\right)$$ ?

Accepted Answer

-2

Answer

-5

Answer

-4

Answer

-3

Question 13

38. What is the value of $$h^{-1}\left(g\left(3\right)\right)$$ ?

Accepted Answer

-5

Answer

-6

Answer

-4

Answer

-3

Question 14

39. What is the value of $$g\left(g\left(2\right)\right)$$ ?

Accepted Answer

4

Answer

1/2

Answer

2

Answer

3

Question 15

40. Let $$k\left(x\right)=3x-7$$ . Which of the following is an expression for $$k^{-1}\left(x\right)$$

Accepted Answer

$$\frac{1}{3}\left(x+7\right)$$

Answer

$$7x+3$$

Answer

$$\frac{1}{3}x+7$$

Answer

$$3\left(x+7\right)$$

Question 16

Let $$p\left(x\right)=\frac{2x+3}{x-5}$$ . Which of the following is an expression for $$p^{-1}\left(x\right)$$

Accepted Answer

$$\frac{5x+3}{x-2}$$

Answer

$$\frac{8}{x-2}$$

Answer

$$\frac{5x-3}{x+2}$$

Answer

$$\frac{x+5}{2x-3}$$

Exponential and Logarithmic Equations Quiz

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