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The value of (1+2(log)3 2)/((1+(log)3 2)...

The value of `(1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2` is

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
`(1+2log_(3)2)/((1+log_(3)2)^(2))+((log_(3)2)^(2))/((1+log_(3)2)^(2))=((1+log_(3)2)^(2))/((1+log_(3)2)^(2))=1`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,t h e ni se ...

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  2. If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of ...

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  3. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is

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  4. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

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  5. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of aa ...

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  6. There exists a natural number N which is 50 times its own logarithm to...

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  7. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

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  8. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

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  9. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

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  10. about to only mathematics

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  11. The value of 3^((log)4 5)-5^((log)4 3) is

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  12. If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

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  13. The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is

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  14. The value of x satisfying the equation 3sqrt(5)^(log)5 5^(((log)5(log)...

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  15. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals (a)odd integer (...

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  16. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

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  17. সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(logx 83)।

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  18. Solve (x+1)^(log(10) (x+1))=100(x+1)

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  19. If log2x+logx2=10/3=log2y+logy2 and x!=y ,then x+y=

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  20. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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