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Comprehension 1 Let a^((log)b x)=c...

Comprehension 1 Let `a^((log)_b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ ` are parameters. On the basis of above information, answer the following questions: If `b=(log)_(sqrt(3))3,\ c=2(log)_bsqrt(b)\ a n d\ s intheta=a(w h e r e\ x >1)\ t h e n\ theta` can be a.`pi/4` b. `\ (3pi)/2` c.`\ pi/2` d. `0`

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ALLEN-LOGARITHMS-All Questions
  1. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  2. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  3. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  4. Comprehension 2 In comparison of two numbers, logarithm of small...

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  5. Comprehension 2 In comparison of two numbers, logarithm of small...

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  6. Comprehension 3 If P is the non negative characteristic of (log)(10...

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  7. Comprehension 3 If P is the non negative characteristic of (log)(10...

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  8. If (log)(10)33. 8=1. 5289 ,\ t h e n(log)(10)0. 338 is- a. 1 .5289 b....

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  9. Prove that ((log)a N)/((log)(a b)N)=1+(log)a b

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  10. log(1//3)sqrt(729*root(3)(9^(- 1)*27^(-4//3))) is equal to

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  11. Compute the following a^(((log)b((log)a N))/((log)b\ \ a))

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  12. Prove the identity; (log)a Ndot(log)b N+(log)b Ndot(log)c N+(log)c Ndo...

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  13. Which is smaller? 2 or ((log)("e"-1)2+(log)2e-1)

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  14. Solve for x :(l g)4(log)3(log)2x=0

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  15. Find the value of 49^A+5^B w h e r e\ A=1-(log)7 2\ &\ B=-(log)5 4.

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  16. If 4^A+9^B=10^C ,\ where A=(log)(16)4,\ B=(log)3 9\ &\ C=(log)x 83 th...

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  17. Value of [2/((log)4(2000)^6)+3/((log)5(2000)^6)] is 4^(1/3). 5^(1//2) ...

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  18. Solve the system of equations: (log)a x(log)a(x y z)=48(log)a y loga(x...

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  19. Compute the following (81^(1/((log)5 9))+3^(3/((log)(sqrt(6))3)))/(409...

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  20. Compute the following 56+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)(1//2)...

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