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If S={x in N :2+(log)2sqrt(x+1)>1-(log)...

If `S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)}` , then `S={1}` (b) `S=Z` (d) `S=N` (d) none of these

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. The number of real values of the parameter k for which (log(16)x)^2-(l...

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  2. If S={x in R :((log)(0. 6)0. 216)(log)5(5-2x)lt=0}, then S is equal t...

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  3. If S={x in N :2+(log)2sqrt(x+1)>1-(log)(1/2)sqrt(4-x^2)} , then S={1...

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  4. Equation (log)4(3-x)+(log)(0. 25)(3+x)=(log)4(1-x)+(log)(0. 25)(2x+1)h...

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  5. Solution set of the inequality 1/(2^x-1)>1/(1-2^(x-1)) is 1,oo) (b) 0...

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  6. The solution set of the inequality (log)(10)(x^2-16)lt=(log)(10)(4x-11...

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  7. Which of the following is a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

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  8. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

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  9. Solve the following equation of x :2(log)x a+(log)(a x)a+3(log)(a^2x)a...

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  10. Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

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  11. If P is the number of natural numbers whose logarithms to the base 10 ...

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  12. Find the compound interest on Rs. 12000 for 10 years at the rate of 12...

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  13. If x=(log)(2a)a , y=(log)(3a)2a ,z=(log)(4a)3a ,p rov et h a t1+x y z=...

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  14. Let L denote antilog32 0.6 and M denote the number of positive integer...

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  15. Let x=(0. 15)^(20)dot Find the characteristic and mantissa of the loga...

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  16. Using logarithms, find the value of 6.45 x 981.4

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  17. In the 2001 census, the population of India was found to be 8. 7x10^7d...

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  18. If (log)(10)2=0. 30103 ,(log)(10)3=0. 47712 , then find the number of...

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  19. If a=(log)(12)18 , b=(log)(24)54 , then find the value of a b+5(a-b)do...

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  20. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

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