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What is log(a+sqrt(a^(2)+1))+log((1)/(a+...

What is `log(a+sqrt(a^(2)+1))+log((1)/(a+sqrt(a^(2)+1)))` is equal to ?

A

A)1

B

B)0

C

C)2

D

D)`1/2`

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The correct Answer is:
B
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DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Standard Level)
  1. If log(7)log(5)(sqrt(x)+5+sqrt(x))=0, find the value of x.

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  2. If log(3)[log(3)[log(3)x]]=log(3)3, then what is the value of x ?

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  3. What is log(a+sqrt(a^(2)+1))+log((1)/(a+sqrt(a^(2)+1))) is equal to ?

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  4. (1)/((log(a)bc)+1)+(1)/((log(b)ac)+1)+(1)/((log(c)ab)+1) is equal to

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  5. If p = log(3)5 and q= log(17) 25 which one of the following is correct...

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  6. If log(10)x=a,log(10)y=b" and "log(10)z=c, then antilog (pa+qb-rc)=?

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  7. If a, b, c are three consecutive odd Integers, then the line ax - by +...

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  8. Find the value of (7^(3))^(-2log(7)8)

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  9. Find the values of x satisfying log(x^(2)+6x+8)log(2x^(2)+2x+3)(x^(2)-...

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  10. If log(0.3)(x-1)ltlog(0.09)(x-1), then x lies in the interval

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  11. If (log(3)x)^(2)+log(3)xlt2, then which one of the following is correc...

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  12. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then x is equal to

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  13. How many values of (xgt1) satisfy the following equation: log(2)xxl...

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  14. The equation log(5)x+(log((x^(2)+3))25)^(-1)=log(25)10 has

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  15. If log(10)x-log(10)sqrt(x)=2log(x)10, then a possible value of x is ...

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  16. What is the value of (log(27)9xxlog(16)64)/(log(4)sqrt(2)) ?

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  17. If (log(x)x)(log(3)2x)(log(2x)y)=log(x^(x^(2)), then what is the val...

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  18. What is the value of log(10)(9/8)-log(10)((27)/(32))+log(10)(3/4) ?

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  19. The value of 25^((-1//4log(5)25)) is equal to

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  20. If log(10)x,log(10)y,log(10) z are in AP then x, y, z are in

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