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The equation log(x^2) 16+log(2x)64=3 has...

The equation `log_(x^2) 16+log_(2x)64=3` has (a) one irrational solution (b) no prime solution two real solutions (d) no integral solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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