LOGARITHM 1. Which of the following statements is not correct? A. log(2+4+6) = log 2 + log 4 + log 6 B. log51 = 0 C. log(3+4) = log(3 × 4) D. D. log55 = 1 Answer : C 2. Log5(0) = ? A. None of these B. 5 C. 0 D. D. 1 Answer : A 3. log5√log5 = ? A. 12 B. 15√ C. 14 D. D. 18 Answer : A 4. log6√log6√3 = ? A. 13 B. 12 C. 32 D. D. 23 Answer : C 5. If logab+logba=log(a+b), then A. a = b B. a + b = 1 C. a - b = 1 D. D. a2 - b2 = 1 Answer : B 6. If log(64)= 1.806, log(16) = ? A. 1.204 B. 0.903 C. 1.806 D. D. None of these Answer : A 7. If log 2 = 0.3010 and log 3 = 0.4771, What is the value of log 51024? A. 4.31 B. 3.88 C. 3.91 D. D. 2.97 Answer : A 8. if log 2 = 0.30103 and log 3 = 0.4771, find the number of digits in (648) 5. A. 15 B. 14 C. 13 D. D. 12 Answer : A 9. if log 2 = 0.30103, the number of digits in 2128 is A. 38 B. 39 C. 40 D. D. 41 Answer : B 10. logx(932)=−18, find the value of x A. (932)8 B. (932)2 C. (329)8 D. D. (329)2 Answer : C 11. logx(94)=−12, find the value of x A. 8116 B. 169 C. 1681 D. D. 916 Answer : C 12. if ax = by, then A. logalogb=xy B. None of these C. logab=xy D. D. logalogb=yx Answer : D 13. log2 512 = ? A. 10 B. 6 C. 9 D. D. 8 Answer : C 14. If logx y = 10 and log2 x = 1000, what is the value of y? A. 2100 B. 21000 C. 210000 D. D. 210 Answer : C 15. if log102 = 0.3010, what is the value of log101600 ? A. None of these B. 5.204 C. 1.204 D. D. 3.204 Answer : D 16. 1log248+1log448+1log648 = ? A. -1 B. 2 C. 0 D. D. 1 Answer : D 17. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to: A. 4 B. 3 C. 2 D. D. 1 Answer : B 18. If log102 = a, what is the value of log10(1200) A. -(a+2) B. -(a+1) C. (a+2) D. D. (a+1) Answer : A 19. If log10 3 = 0.4771, then log3 10 is A. 10004771 B. 100004771 C. 1.4313 D. D. 0.4771 Answer : B 20. If log5 (x2+x) - log5 (x+1) = 3, find the value of x A. 25 B. 125 C. 1/125 D. D. 1/25 Answer : B 21. Find the value of13log10125−2log104+log1032 A. 0 B. 1 C. 2 D. D. 3 Answer : B 22. log(a2bc)+log(b2ac)+log(c2ab)= ? A. None of these B. abc C. 1 D. D. 0 Answer : D 23. if log2x = -6, x is equal to : A. 64 B. 164 C. 132 D. D. 32 Answer : B 24. If log4x+log2x=12, then x is equal to: A. 1024 B. 256 C. 8 D. D. 16 Answer : B 25. log(.001) (100) = ? A. −23 B. 32 C. −32 D. D. None of these Answer : A 26. log5 200 × log200 125 equals : A. 5 B. 25 C. 3 D. D. 6 Answer : C 27. If log100[log3(log2 x)] = 1, x is equal to: A. None of these B. 1 C. 2(3100) D. D. 3(22) Answer : C 28. If log2[log3(log2 x)] = 1, x is equal to: A. 512 B. None of these C. 256 D. D. 1024 Answer : A 29. (log3 4) (log4 5) (log5 6) (log6 7) (log7 8) (log8 9) (log9 9) = ? A. 4 B. 0 C. 2 D. D. 1 Answer : C 30. log(-2)(-2) = ? A. None of these B. -1 C. 0 D. D. 1 Answer : A
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