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Find the value of x satisfying `(log)_(10)(2^x+\ x-41)=x\ (1-(log)_(10)5)dot`

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BANSAL-LOGARITHM-All Questions
  1. 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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  2. Let log2x+log4y+log4z=2; log9x+log3y+log9z=2; log(16)x+log(16)y+log4z...

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

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

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

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

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

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

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

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  10. If log(3)M=a1+b1 and log5M=a2+b2 where a1,a2 in N and b1,b2 in [0,1). ...

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  11. If log(3x) 45 = log(4x) 40sqrt3 then find the characteristic of x^3...

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  12. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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  13. Prove that 2^{{sqrt(loga 4sqrtab + logb 4sqrtab)-sqrt((loga)4sqrt(b/a...

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  14. Find the value of x satisfying the equation, sqrt((log3(3x)^(1/3)+logx...

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  15. Given that log2 a=s, log4 b=5^2 and log(c^2) (8)=2/(s^3+1). Write log2...

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  16. let y=sqrt(log23log2(12)log2(48)log2(192)+16)-log2(12)log2(48)+10find ...

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  17. The least value of the expression 2(log)(10)x-(log)x(0. 01), for x &g...

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  18. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

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  19. The equation x^((3/4)(log2 x)^2 + (log2 x) - (5/4))=sqrt(2) has (1)a...

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  20. The number of solutions of (log)4(x-1)=(log)2(x-3) is (2001, 2M) 3 (b...

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