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Let N=10^(log2-2 log(log10^3)+log(log10^...

Let `N=10^(log2-2 log(log10^3)+log(log10^6)^(2))` where base of the logarithm is 10. The characteristic of the logarithm of `N` to the base 3, is equal to (a) 2 (b) 3 (c) 4 (d) 5

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BANSAL-LOGARITHM-All Questions
  1. The sum of two numbers a and b is sqrt(18) and their difference is...

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  2. The value of (log(10)2)^3+log(10)8log(10)5+(log(10)5)^3 is ..............

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  3. Let N=10^(log2-2 log(log10^3)+log(log10^6)^(2)) where base of the loga...

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  4. If x=(sqrt(10)+sqrt(2))/2\ and\ y=(sqrt(10)-sqrt(2))/2 then the value ...

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  5. Suppose that x\ <\ 0. Which of the following is equal to |2x-sqrt((x-2...

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  6. If N=(2^(log(70)9800))(5^(log(70)140))(7^(log(70)2)) then N is equal t...

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  7. The expression q^((sqrt(6+sqrt(6+sqrt(6+....oo))))^(log3 p^([(logq(log...

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  8. If a , b are co-prime numbers and satisfying (2+sqrt(3))^(1/(loga(2-s...

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  9. If 2^((log2 3)^x)=3^((log3 2)^x) then the value of x is equal to

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  10. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

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  11. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

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  12. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

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  13. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3) . Then N is a...

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  14. If (a^(logb x))^2-5\ a^(logb x)+6=0, where a >0, b >0\ &\ a b!=1, then...

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  15. Which of the following statement(s) is/are true? (a) log(10)2 lies be...

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  16. The equation log(x^2) 16+log(2x)64=3 has (a) one irrational solution (...

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  17. Which of the following real numbers is (are) non-positive ? (log)(1//...

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  18. The expression x=log2log9sqrt(6+sqrt(6+sqrt(6+.........oo))) simplifie...

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  19. The number N= 2^ (log2 3·log3 4.log4 5....... log99 100) simplifies to

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  20. The expression 1/(log5 3)+1/log6 3-1/log10 3simplifies to

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