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The least value of the expression 2(log)...

The least value of the expression `2(log)_(10)x-(log)_x(0.01)dot` for `x >1` is

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Solve: (1/2)^x^(2-2x)<1//4.

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  2. Find the smallest integral value of x satisfying (x-2)^(x^2-6x+8))&gt...

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  3. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x >1...

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  4. The solution of the equation (log)7(log)5(sqrt(x+5)+sqrt(x))=0 is...

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  5. Let (x0, y0) be the solution of the following equations: (2x)^(1n2)=(3...

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  6. If In(a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then

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  7. Prove that number (log)2 7 is an irrational number.

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  8. Which of the following numbers are positive/negative? (log)2 7 (ii) (...

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  9. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  10. Solve x^((log)y x)=2 and y^((log)x y)=16

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  11. Solve (log)(2x)2+(log)4 2x=-3//2.

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  12. If ageqb >1, then find the largest possible value of the expression (l...

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  13. Solve : 3^((log9 x))xx2 = 3sqrt(3)

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  14. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

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  15. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

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  16. If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(log)a y)),then prove that x=a^...

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  17. Solve (log)x2(log)(2x)2=(log)(4x)2.

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  18. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

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  19. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

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  20. If (log)3{5+4(log)3(x-1)}=2, then x is equal to

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