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Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(...

Arrange `(log)_2 5,(log)_(0. 5)5,(log)_7 5,(log)_3 5` in decreasing order.

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`log_2^5>2`
`log_0.5^5<0`
`log_7^5<1`
`log_3^5>1`
`log_2^5>log_3^5>log_7^5>log_0.5^5`.
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CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Find the value of (log)(2sqrt(3))1728.

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

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

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

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  6. Solve: (1/2)^x^(2-2x)<1//4.

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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 a , b, c, … are in G.P. then 2a,2b,2c,… are in ….

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

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  13. 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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  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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