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Comprehension 2 In comparison of t...

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\ a n d(log)_(1/2)4` is larger than `(log)_(1/2)8.` Identify the correct order: `(log)_2 6<(log)_3 8(log)_3 8> log_3 6>(log)_4 6` `(log)_3 8>(log)_2 6> log_3 6>(log)_4 6` `(log)_2 8<(log)_4 6

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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 a n d(log)_(1/2)4 is larger than (log)_(1/2)8. (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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Express each of the following as the logarithm of a single number . log 2x+ 2 log x

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Express each of the following as the logarithm of a single number . 1/2 log 9 - 3 log 4 + 3 log 2

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. Value of [2/((log)4(2000)^6)+3/((log)5(2000)^6)] is 4^(1/3). 5^(1//2) ...

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

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

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

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  20. 4^(5 log(4sqrt(2)) (3-sqrt(6)) - 6 log8(sqrt(3)-sqrt(2)))

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