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If a^x=b^y , then a. log\ a/b=x/y b. (lo...

If `a^x=b^y ,` then a. `log\ a/b=x/y` b. `(loga)/(logb)=x/y` c. `(loga)/(logb)=y/x` d. none of these

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RS AGGARWAL-LOGARITHMS-All Questions
  1. (log)2(log)2(log)3(log)3 27^3 is 0 b. 1 c. 2 d.\ 3

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  2. The value of (log)2[(log)2{(log)4((log)4 256^4)}]\ is 0 b. 1 c. 2 d. ...

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  3. If a^x=b^y , then a. log\ a/b=x/y b. (loga)/(logb)=x/y c. (loga)/(logb...

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  4. Show that :log 360=3log2+2log3+log5

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  5. log10\ 26/51 + log10\ 119/91 - log10\ 13/32 - log10\ 64/39 is equal to...

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  6. 1/3log10 125-2log10 4+log10 32

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  7. (log)(10)1 1/2+(log)(10)1 1/3+ up to 198 terms is equal to 0 b. 2 c...

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  8. log(9/14)+log(35/24)-log(15/16)=0

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  9. 2 log10 5 + log10 8 - 1/2\ log10 4=? a. 2 b. 4 c. 2+2 log10 2 d. 4 - 4...

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  10. prove that log2 + 16 log(16/15) + 12 log(25/24) + 7 log(81/80) = 1

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  11. If loga(ab)=x then logb(ab) is equals to

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  12. If log(10)2=a\ and log(10)3=b, then log5 12 equals a. (a+b)/(1+a) b. (...

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  13. If log 2=x ,\ log 3=y\ an d \ log7=z , then the value of log(4*root(3)...

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  14. If log4 x+log2 x=6, then x is equal to a. 2 b. 4 c. 8 d. 16

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  15. 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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  16. 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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  17. If log(10) x+ log(10) 5=2, then x equals a. 15 b. 20 c. 25 d. 100

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

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

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

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