1. Expand log4(3x)

A. 3(log4(x))

B. (log4(3))(log4(x))

C. log4(3) + log4(x)

D. 3x(log4)

E. (log4(3)) / (log4(x))

F. (log4(3)) – (log4(x))

2. Expand log3(27/x)

A. 9 – (3x)

B. 3 – log3(x)

C. 3/(log3(x))

D. 9/(log3(x))

E. 9 + log3(x)

F. 9 – log3(x)

3. Expand log4(x5)

A. xlog4(5)

B. log4(x) + log4(5)

C. 4log(x5)

D. 20log4(x)

E. 5log4(x)

F. xlog5(4)

4. Expand log4(4/(7×2))

A. 16 – log4(x27)

B. 16/(x + log4(7))

C. 27/(x + log4(7))

D. 1 – 2log4(x) – log4(7)

E. 1/(2log4(x) + log4(7))

F. 8 – 2log4(x)

5. Expand log4[(3(5x – 6)2)/(3×3(x + 2)2]

A. 2log4(5x – 6) – 3log4(x) – 2log4(x+2)

B. (2log4(15) + 2log4(x) – 2log4(18))/(log4(3) + 3log4(x) + 2log4(x) + 2)

C. log445x-32- log427x+ log4x

D. log4(3) + log4(10x – 12) + log4(3) – 5log4(x+2)

E. log4(3) + log4(10x – 12) + log4(3) – 5

F. log4(3) + log4(10x – 12) – log4(3) + log4(3x) + 2log4(x+2)

6. Simplify log4(z) – log4(3)

A. log4(z – 3)

B. 4(log(z – 3))

C. logz (z/3)

D. log (4z – 12)

E. log4 (3z)

F. log4 (z/3)

7. Simplify log5 (20) – log5 (2)

A. (log5 (10)) / (log5 (2))

B. log5 (10)

C. log5 (18)

D. log5 (30)

E. log5 (40)

F. 2

8. Simplify 4log5 (3)

A. log5(81)

B. log5(60)

C. log5(12)

D. log5(9)

E. log5(7)

F. log5(3/4)

9. Simplify 3log10(3) – log10(9)

A. log10(3)

B. log10(4)

C. log10(5)

D. log10(9)

E. log10(11)

F. log10(14)

10. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(15).

A. 0.4670

B. 2.8230

C. 1.5684

D. 1.3917

E. 2.4813

F. 0.2625

11. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(16)

A. 1.0012

B. 2.3461

C. 3.2918

D. 1.3251

E. 1.4248

F. 1.6232

12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).

A. 0.1518

B. 1.4649

C. 1.2138

D. 0.2625

E. 0.5341

F. 2.6252

13. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(12).

A. 0.4013

B. 0.1123

C. 1.2770

D. 2.1867

E. 1.3412

F. 1.2423

14. Solve log5 (10)

A. 0.125

B. 0.788

C. 1.235

D. 1.431

E. 0.456

F. 0.345

15. Solve log6 (7)

A. 6.00

B. 0.87

C. 1.19

D. 2.10

E. 1.09

F. 2.17

16. Use the change of base formula to solve log10 (e)

A. 0.891

B. 1.458

C. 0.434

D. 1.653

E. 0.422

F. 0.123

17. Use the change of base formula to solve loge (10)

A. 1.45

B. 10.0

C. 1.85

D. 2.71

E. 3.12

F. 2.30

18. Solve log6(3.5) + log6(2)

A. 1.09

B. 1.32

C. 1.43

D. 1.45

E. 6.32

F. 7.09

19. Solve log5 (10) + log5(2)

A. 2.44

B. 1.33

C. 2.31

D. 1.86

E. 2.89

F. 1.64

20. log6 (3) + log5 (2) is equivalent to

A. 0

B. ln(2) * ln (6)

C. 1 / ln(6)

D. ln(2) / ln (9)

E. 9

F. [ln(5)*ln(3)) + ln(2)*ln(6))]/ [ln(5)*ln(6)]

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