LOGARITHMS

1. The value of log(.01)(1000) is: a) 1/3 b) -1/3c) 3/2d)-3/2

2. The logarithm of 0.0625 to the base 2 is: a)-4 (b) 2c)0.25d)0.5

3. If log3 x = -2, then x is equal to:a)-9b)-6c)-8d)1/9

4. If log 8 X= 2/3, then the value of x is :a)3/4 (b)4/3c)3d)4

5. If log x (9/16) = -1/2, then x is equal to:a)-3/4b)3/4c)81/256d)256/81

6. If logx 4 = 0.4, then the value of x is :a) 1 b) 4 c)16d)32

7. If 1og10000 X= -1/4,then x is equal to :a) 1/10b)1/100c)1/1000d)1/10000

8. If logx 4 = 1/4. then x is equal to :a) 16 b) 64 c) 128 d)256

9. If logx (0.1) = -1/3, then the value of x is : a) 10 b) 100c)1000d)1/1000

10. If log32 X = 0.8, then x is equal to : a) 25.6 b) 16 c)10d)12.8

11. If logx y = 100 and log2 x = 10, then the value of y is : a)210 b)2100c)21000d)210000

12. The value of log (-1/3)81 is equal to : a) - 27 b) - 4 c)4d)27

13. The value of log 23 (1728) is :a) 3 b) 5 c) 6d) 9

14. The value of log 2 (log5 625) is:a) 2b) 5 c)10d)15

15. If log 2 [log3 (log 2 X) ] =1, then x is equal to: a)0 b)12 c) 128d)512

16. The value of log 2 log 2 log3 log3 273 is :a)0 b)1c)2d)3

17. log 360 is equal to :a ) 2 log 2 + 3 log 3 b) 3 log 2 + 2 log 3 c)3 log 2 + 2 log 3 - log 5 d) 3 log 2 + 2 log 3 + log 5

18. If log4 x + log 2 x = 6, then x is equal to : a) 2 b) 4 c) 8d)16

19. If log8 X + log8 1/6 = 1/3 then the value of x is:a) 12 b) 16c)18d)24

20. If log10 125 + log10 8 = x, then x is equal to :a)1/3b) .064 c)-3d)3

21. The value of (log9 27 + log8 32) is:a)7/2 b)19/6c)4d)7

22. (log5 3) x (log3 625) equals : a) 1 b) 2c)3d)4

23. (log5 5) (log4 9) (log3 2) is equal to : a) 1 b) 3/2c)2d)5

24. If log12 27 = a, then log6 16 is : a) 3-a / 4(3 + a)b)3+a / 4 (3-a)c)4(3+a) / (3-a)d) 4 (3-a) / (3+ a)

25. The value of (log3 4) (log4 5) (log5 6) (log6 7) (log7 8) (log8 9) is: a) 2 b) 7 c) 8d)33

ANSWER KEY OF LOGARITHMS

1d2a3d4d5d

6d7a8d9c10b

11c12b13c14a15d

16a17 d18d19a20d

21b22d23a24d25a