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If 2^((log2 3)^x)=3^((log3 2)^x) then th...

If `2^((log_2 3)^x)=3^((log_3 2)^x)` then the value of `x` is equal to

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BANSAL-LOGARITHM-All Questions
  1. The expression q^((sqrt(6+sqrt(6+sqrt(6+....oo))))^(log3 p^([(logq(log...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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