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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)` and `sintheta=a` (where, `x >1`) then `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. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta))), where -(pi)/(...

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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 smaller...

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  5. Comprehension 2: In comparison of two numbers, logarithm of smaller nu...

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

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  7. Comprehension 3 : IfP is the non negative characteristic of (log)(10)N...

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  8. If (log)(10)33. 8=1.5289 , then (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)root(4)(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(log a)))

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

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

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

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  15. Find the value of 49^A+5^B where 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 then find...

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

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

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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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