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If log(12) 27=a, then log6 16 is a. (3-a...

If `log_(12) 27=a,` then `log_6 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))`

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RS AGGARWAL-LOGARITHMS-All Questions
  1. ((log)5 3)xx((log)3 625) equals 1 b. 2 c. 3 d. 4

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  2. ((log)5 5)((log)4 9)((log)3 2) is equal to 2 b. 5 c. 1 d. 3/2

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  3. If log(12) 27=a, then log6 16 is a. (3-a)/(4(3+a)) b. (3+a)/(4(3-a)) c...

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  4. If log10 5 + log10 (5x+1) = log10 ( x + 5) +1, then x is equal to

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  5. If log5 (x^2+x)-log5 (x+1)=2, then the value of x is a. 5 b. 10 c. 25 ...

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  6. 1/2 (logx + logy) will equal log((x+y)/2) if a. y=0 b. x=sqrt(y) c. x=...

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  7. The value of (1/(log3 60)+1/(log4 60)+1/(log5 60)) is

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  8. Evaluate log3 4.log4 5.log5 6.log6 7.log7 8.log8 9

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  9. The value of 16^(log 45) is a. 5/(64) b. 5 c. 16 d. 25

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  10. If logx+logy=log(x+y), then a. x=y b. x y=1 c. y=(x-1)/x d. y=x/(x-1)

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  11. If log\ a/b+log\ b/a=log(a+b), then a. a+b=1 b. a-b=1 c. a=b d. a^2-b^...

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  12. [log(a^2/(bc))+log(b^2/(ac))+log(c^2/(ab))] is equal to a. 0 b. 1 c. 2...

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  13. 1/(loga(b))xx1/(logb(c))xx1/(logc(a)) is equal to

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  14. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

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  15. 1/log(a/b)x+1/log(b/c)x+1/log(c/a)x is equal to:

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  16. If log(10)7=a ,\ then\ log(10)(1/70) is equal to a. -(1+a) b. a/(10) c...

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  17. If a=b^x ,\ b=c^y and \ c=a^z , then the value of x y z is equal to ...

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  18. If logx-5log3=-2 then x equals a. 0.8 b. 0.81 c. 1.25 d. 2.43

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  19. If a=b^2=c^3=d^4, then the value of loga (a b c d) would be a. (log)a...

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  20. If "log"(3) x + "log"(9)x^(2) + "log"(27)x^(3) = 9, then x =

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