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A denotes the product `xyz` where `x,y and z` satisfy `log_3 x= log5-log7 and log_5 y=log7-log 3 and log_7 z=log 3-log5` B denotes the sum of square of solution of the equation, `log_2(log_2 x^6 - 3) - log_2(log_2 x^4 - 5) = log_2 3` C denotes characterstio of logarithm `log_2 (log_2 3)-log_2 (log_4 3)+log_2(log_4 5)-log_2(log_6 5)+log_2 (log_6 7)-log_2 (log_6 3)` The valuo of `A+B+C` is equal to

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BANSAL-LOGARITHM-All Questions
  1. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

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

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

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

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

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

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

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

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

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

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

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  12. The number N=sqrt(2+sqrt5-sqrt(6-3sqrt5+sqrt(14-6sqrt5) simplifies to

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  13. The value(s) of x , which does not satisfy the equation log2^2(x^2-x...

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  14. The value of x satisfying the equation 2^(log2e^(In^5log 7^(log10^(log...

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  15. he number N=(1/(log2pi)+1/(log6pi)) is less then

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  16. Let I=(log3 4+log2 9)^2-(log3 4-log2 9)^2 and m=(0.8)(1+9^(log3 8))^...

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  17. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

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  18. If k^(log2 5)=16 , find the value of k^((log2 5)^2)

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  19. For x , y in NN , if 3^(2x-y+1)=3^(y-2x+1)-8 and log6|2x^2y-x y^2|=1+...

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  20. Let log2x+log4y+log4z=2; log9x+log3y+log9z=2; log(16)x+log(16)y+log4z...

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