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The value of (1+2(log3 2)/((1+(log)3 2)^...

The value of `(1+2(log_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2` is 2 (b) 3 (c) 4 (d) 1

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-LOGARITHM AND ITS PROPERTIES-Exercise (Single)
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  3. The value of (1+2(log3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is 2 (b) 3 (...

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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 = b" then "log(0.72)(9.6) in terms of a an...

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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

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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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  10. If a^4b^5=1 then the value of loga(a^5b^4) equals

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  11. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

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  12. If 2^(x+y) = 6^(y) and 3^(x-1) = 2^(y+1), then the value of (log 3 - l...

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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 root(3)(5)^(log(5)5^(log(5)5^...

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

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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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