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The equation x^((3//4) (log(2)x)^(2) + l...

The equation `x^((3//4) (log_(2)x)^(2) + log_(2)x - (5//4)) = sqrt(2)` has:

A

at least one real solution

B

exactly three real solutions

C

exactly one irrational solution

D

all of the above

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The correct Answer is:
D
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ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 2
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  2. Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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