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Prove that 1/3<(log)(10)3<1/2dot...

Prove that `1/3<(log)_(10)3<1/2dot`

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CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Find the number of solutions of equation (2x-3)2^x=1

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  2. Find the value of (log)(2sqrt(3))1728.

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  3. Prove that 1/3<(log)(10)3<1/2dot

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  4. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

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  5. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

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  6. Solve: |x-3|^(3x^2-10 x+3)=1

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

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  8. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x &...

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

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

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

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

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

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  14. 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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  15. Solve x^((log)y x)=2a n dy^((log)x y)=16

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

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

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

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

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

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