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If log(10) x+log(10) y= 3 and log(10) x-...

If `log_(10) x+log_(10) y= 3 and log_(10) x-log_(10) y=1,` then `x\ and \ y` are respectively a. `10\ and\ 100` b. `100\ and\ 10` c. `1000\ and\ 100` d. `100\ and\ 1000`

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RS AGGARWAL-LOGARITHMS-All Questions
  1. If log4 x+log2 x=6, then x is equal to a. 2 b. 4 c. 8 d. 16

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  2. If log(10)(x^2-6x+10)=0, then the value of x is a. 3 b. 4 c. 1 d. 2

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  3. If log(10) x+log(10) y= 3 and log(10) x-log(10) y=1, then x\ and \ y a...

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  4. If log(10) x+ log(10) 5=2, then x equals a. 15 b. 20 c. 25 d. 100

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  5. If log(10)125+log(10)8=x ,\ then\ x is equal to a. 1/3 b. 0. 064 c. -...

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  6. ((log)9 27+(log)8 32) is 7/2 b. (19)/6 c. 4 d. 7

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  7. ((log)5 3)xx((log)3 625) equals 1 b. 2 c. 3 d. 4

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

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

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  11. 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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  12. 1/2 (logx + logy) will equal log((x+y)/2) if a. y=0 b. x=sqrt(y) c. x=...

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

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

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

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  16. 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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  17. 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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  18. [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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  19. 1/(loga(b))xx1/(logb(c))xx1/(logc(a)) is equal to

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

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