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Solve the following equation of x :2(log...

Solve the following equation of `x :2(log)_x a+(log)_(a x)a+3(log)_(a^2x)a=0,a >0`

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Which of the following is a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

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  2. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

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  3. Solve the following equation of x :2(log)x a+(log)(a x)a+3(log)(a^2x)a...

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  4. Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

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  5. If P is the number of natural numbers whose logarithms to the base 10 ...

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  6. Find the compound interest on Rs. 12000 for 10 years at the rate of 12...

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  7. If x=(log)(2a)a , y=(log)(3a)2a ,z=(log)(4a)3a ,p rov et h a t1+x y z=...

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  8. Let L denote antilog32 0.6 and M denote the number of positive integer...

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  9. Let x=(0. 15)^(20)dot Find the characteristic and mantissa of the loga...

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  10. Using logarithms, find the value of 6.45 x 981.4

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  11. In the 2001 census, the population of India was found to be 8. 7x10^7d...

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  12. If (log)(10)2=0. 30103 ,(log)(10)3=0. 47712 , then find the number of...

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  13. If a=(log)(12)18 , b=(log)(24)54 , then find the value of a b+5(a-b)do...

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  14. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

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  15. The real solutions of the equation 2^(x+2). 5^(6-x)=10^(x^2) is/are 1 ...

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  16. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to

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  17. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

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  18. Solution set of the inequality (log)(0. 8)((log)6(x^2+x)/(x+4))<0 is

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  19. Which of the following is not the solution of (log)3(x^2-2)<(log)3(3/2...

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  20. The true solution set of inequality (log)((x+1))(x^2-4)>1 is equal to ...

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