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Comprehension 2: In comparison of two nu...

Comprehension 2: In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one.
For example `log_2 4` is smaller than `(log)_2 8` and `(log)_(1/2)4` is larger than `(log)_(1/2)8` and `(log)_(2/3)5/6` is-
a. less than zero
b. greater than zero and less than one
c. greater than one
d. none of these

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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 2 In comparison of two numbers, logarithm of smaller...

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

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

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

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  6. If (log)(10)33. 8=1.5289 , then (log)(10)0. 338 is- a. 1 .5289 b. -...

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

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

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

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

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

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

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  13. Find the value of 49^A+5^B where A=1-(log)7 2, B=-(log)5 4.

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

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

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

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

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  19. 4^(5 log(4sqrt(2)) (3-sqrt(6)) - 6 log8(sqrt(3)-sqrt(2)))

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  20. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base of log is a

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