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Statement I: the equation (log)(1/(2+|"x...

Statement I: the equation `(log)_(1/(2+|"x"|))(5+x^2)=(log)_()(15+sqrt(x))` has real solutions. Because Statement II: `(log)_(1//"b")a=(log)_b a\ (w h e r e\ a ,\ b >0\ a n d\ b!=1)` and if number and base both are greater than unity then the number is positive. a.`A` b. `\ B` c.`\ C` d. `D`

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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 a=2\ x=a^((log)_5 25)&\ c=sqrt(2) , then b is- a. 2 b. \ 16 c. \ 12 d. 2

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 a=2\ x=a^((log)_5 25)&\ c=sqrt(2) , then b is a. 2 b. \ 16 c. \ 12 d. 2

If ((log)_a N)/((log)_c N)=((log)_a N-(log)_b N)/((log)_b N-(log)_c N),w h e r eN >0a n dN!=1, a , b , c >0 and not equal to 1, then prove that b^2=a c

ALLEN-LOGARITHMS-All Questions
  1. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  2. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  3. Statement I: the equation (log)(1/(2+|"x"|))(5+x^2)=(log)()(15+sqrt(x)...

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

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

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  6. Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. O...

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

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

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

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

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

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

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

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

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

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  16. Which is smaller? 2 or (log(("e"-1))2+log2(e-1))

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

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  18. 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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  19. 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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  20. Solve the system of equations: (log)a x(log)a(x y z)=48(log)a y loga(x...

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