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If `(loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b)`, then prove that `a^(a)b^(b)c^(c)=1`.

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ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 2
  1. If (loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b), then prove that a^(a)...

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  2. Find the sum of 'n' terms of the series. log(2)(x/y) + log(4)(x/y)^(...

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  3. Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):

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  4. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

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  5. The set of solution for all x satisfying the equation x^(log 3 x^(2...

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  6. The set of all the solution of the inequality log(2-x) (x-3) ge 1 is :

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  7. If log(3)30 =1/a and log(5) 30 = 1/b then the value of 3 log(30)2 is:

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  8. Number of ways in which 20 different pearls of two colours can be set ...

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  9. The number of solutions of the expression satisfying 4^(x^(2)+2)-9.2^(...

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  10. Six teachers and six students have to sit round a circular table such ...

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  11. The number of different words which can be formed from the letters of ...

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  12. If a denotes the number of permutation of x+2 things taken all at a ti...

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  13. The set S={1,2,3,...,12} is to be partitioned into three sets, A, B, C...

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  14. The number of solutions of the equation log(x//2)x^(2) + 40 log(4x)...

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  15. Ravish writes letters to his five friends and addresses the correspond...

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  16. f:{1,2,3,4,5}→{1,2,3,4,5} that are onto and f(i)≠i, is equal to

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  17. The least value of expression 2 log(10)x - log(x) (1//100) for x gt 1 ...

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  18. The equation x^((3//4) (log(2)x)^(2) + log(2)x - (5//4)) = sqrt(2) has...

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  19. From 6 different novels and 3 different dictionaries, 4 novels and 1 d...

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  20. Find all real values of x satisfying equation: |x-1|^(log x^(2) - 2 ...

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