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The number N = 6 log(10) 2+ log(10) 31 ...

The number `N = 6 log_(10) 2+ log_(10) 31 ` lies between two successive integers whose sum is equal to

A

5

B

7

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
`N = log_(10) 64+log_(10) 31 = log_(10) 1984`.Therefore,
` 3 lt N lt 4 rArr 7`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. (log)4 18 is

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  2. The number N = 6 log(10) 2+ log(10) 31 lies between two successive in...

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  3. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

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  4. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is

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  5. The value of loga b-log|b|=

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  6. If a, b, c are consecutive positive integers and log (1+ac) = 2K, then...

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

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

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  10. 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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  11. 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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  12. There exists a natural number N which is 50 times its own logarithm to...

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

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

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  15. 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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  16. about to only mathematics

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

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

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

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