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

The number of `N=6-(6(log)_(10)2+(log)_(10)31)` lies between two successive integers whose sum is equal to (a)5 (b) 7 (c) 9 (c) 10

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To solve the problem, we need to evaluate the expression \( N = 6 - 6 \log_{10} 2 + \log_{10} 31 \) and find the two successive integers between which \( N \) lies. Then, we will find the sum of these integers. ### Step-by-Step Solution: 1. **Start with the expression**: \[ N = 6 - 6 \log_{10} 2 + \log_{10} 31 \] ...
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CENGAGE ENGLISH-LOGARITHM-All Questions
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  2. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

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  3. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

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  4. (log)4 18 is a rational number (b) an irrational number (c)a prime n...

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  5. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

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  6. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

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  7. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

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  8. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

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  9. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

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  10. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

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  11. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt...

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  12. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to: 9...

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  13. If a , b , c are consecutive positive integers and (log(1+a c)=2K , th...

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  14. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

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

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

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

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  19. There exists a natural number N which is 50 times its own logarithm t...

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

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