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The number N= 2^ (log2 3·log3 4.log4 5.....

The number `N= 2^ (log_2 3·log_3 4.log_4 5....... log_99 100)` simplifies to

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The number N=2^(log_(2)3log_(3)4*log_(4)5.......log_(99)100) simplifies to

log_10(log_2 3) + log_10(log_3 4) + log_10(log_4 5) + ........ + log_10 (log_1023 1024) simplifies to

log_(2)[log_(4)(log_(10)16^(4)+log_(10)25^(8))] simplifies to :

The value of log_(2)*log_(3)dots......log_(100)100^(99)

The number 2^(2log_2(3^(log_3 4))) simplified as : 12 (b) 16 (c) 24 (d) 72

The value of 3^(log_4 5)+4^(log_5 3)-5^(log_4 3)-3^(log_5 4)=

What is the value of log_(3)2,log_(4)3.log_(5)4. . .log_(16)15 ?

Given log_2(a) + log_2(2) + log_3(1 + b^2)=2 (a>1. b in R),c=log_10(2^log_2(3)......log_99(100)),d=log_10(2^log_2(3^log_3(4........log_99(100) Then find the value of (a+b+c+d).

BANSAL-LOGARITHM-All Questions
  1. Which of the following real numbers is (are) non-positive ? (log)(1//...

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the value of x satisfying (log)(10)(2^x+\ x-41)=x\ (1-(log)(10)...

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  15. Positive numbers x , y\ and\ z satisfy x y z\ =\ 10^(81) and (log(10)x...

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  16. Find the number of integral solution of the equation log(sqrt(x))(x+|x...

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  17. Suppose p , q ,r and s in NN satisfying the relation p+1/(q+1/(r+1/s))...

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  18. If x and y are real numbers, such that 2log(2y-3x)=logx+logy, then fin...

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  19. given log(10)(34.56) find the value of the following log(10)(3.456) , ...

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  20. If log(10)2=0.3010 ,\ log(10)3=0.4771. Find the number of integers in ...

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