Question : Graph. 1) f(x) = log^3x : 2162225

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Graph.

1) f(x) = log₃x

A)

B)

C)

D)

2) f(x) = log_1/2x

A)

B)

C)

D)

Graph both functions using the same set of axes.

3) f(x) = 2^x, f^-1(x) = log₂x

A)

B)

C)

D)

Convert to a logarithmic equation.

4) 6² = 36

A) 36 = log₆2

B) 2 = log₆36

C) 2 = log₃₆6

D) 6 = log₂36

5) 4² = 16

A) 4 = log₂16

B) 16 = log₄2

C) 2 = log₁₆4

D) 2 = log₄16

6) 2^-2 = (1/4)

A) -2 = log₂(1/4)

B) -2 = log_1/42

C) (1/4) = log₂-2

D) 2 = log_-2(1/4)

7) 216^1/3 = 6

A) 6 = log_1/3216

B) 6 = log₂₁₆(1/3)

C) (1/3) = log₂₁₆6

D) (1/3) = log₆216

8) e^-5 = 0.006738

A) -5 = log_e0.006738

B) e = log_-50.006738

C) 0.006738 = log_-5e

D) 0.006738 = log_e-5

Convert to an exponential equation.

9) log⁸64 = 2

A) 64² = 8

B) 2⁸ = 64

C) 8² = 64

D) 8⁶⁴ = 2

10) log₉(1/81) = -2

A) 2⁹ = (1/81)

B) 9⁸¹ = 2

C) 9^-2 = (1/81)

D) (1/81)² = 9

11) log₅1 = 0

A) 0⁵ = 1

B) 1⁰ = 5

C) 5⁰ = 1

D) 5¹ = 0

12) log_wQ = 4

A) w⁴ = Q

B) 4^w = Q

C) Q^w = 4

D) Q⁴ = w

13) log₁₀1000 = 3

A) 1000¹⁰ = 3

B) 3¹⁰ = 1000

C) 1000³ = 10

D) 10³ = 1000

14) log_e56 = 4.025

A) 56^e = 4.025

B) e⁵⁶ = 4.025

C) e^4.025 = 56

D) 56^4.025 = e

Solve.

15) log₃9 = x

A) 27

B) 12

C) 3

D) 2

16) log₃(1/27) = x

A) (1/81)

B) 3

C) -3

D) (1/9)

17) log₃x = 2

A) 9

B) 8

C) 6

D) 5

18) log₂x = -3

A) -1

B) -6

C) (1/9)

D) (1/8)

19) log₅1 = x

A) 1

B) 0

C) 25

D) 5

20) log_x125 = 3

A) 5 or -5

B) 3

C) 5

D) 3 or -3