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Solve: 4(log)(x/2)(sqrt(x))+2(log)(4x)(x...

Solve: `4(log)_(x/2)(sqrt(x))+2(log)_(4x)(x^2)=3(log)_(2x)(x^3)dot`

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`x/2!=1`
`4x!=1`
`2x!=1`
`x!=2,1/4,1/2`
`4*(log_2^sqrtx)/(log_2^(x/2))+2(log_2^(x^2))/(log_2^(4x)`
`(3logx^3)/(log2x)`
`(2*log_2^x)/(log_2^x-1)+(2*2log_2^x)/(log_2^x+2)=(9*log_2^x)/(log_2^x+1)`
Let`log_2^x=t`
...
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CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Solve : 6(logx2-(log4x)+7=0.

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  2. Solve: 4^((log2logx))=logx-(logx)^2+1 (base is e)

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  3. Solve: 4(log)(x/2)(sqrt(x))+2(log)(4x)(x^2)=3(log)(2x)(x^3)dot

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  4. Solve 4^((log)9x)-6x^((log)9 2)+2^((log)3 27)=0

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  5. Solve: 1/4x^(log2sqrt(x))=(2. x^((log)2x))^(1/4)

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

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  7. Solve (log)2(x-1)> 4.

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  8. Solve (log)3(x-2)lt=2.

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  9. If x1a n dx2 are the roots of the equation e^2*x^(lnx)=x^3 with x1> ...

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  10. If x y^2=4a n d(log)3((log)2x)+(log)(1/3)((log)(1/2)y)=1,then x equals...

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  11. x^(log5 x) > 5 implies x in

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  12. The number of real values of the parameter k for which (log(16)x)^2-(...

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  13. If S={x in R :((log)(0. 6)0. 216)(log)5(5-2x)lt=0}, then S is equal...

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  14. If S={x in N :2+(log)2sqrt(x+1)>1-(log)(1/2)sqrt(4-x^2)} , then (a...

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  15. Equation (log)4(3-x)+(log)(0. 25)(3+x)=(log)4(1-x)+(log)(0. 25)(2x+1)h...

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  16. Solution set of the inequality 1/(2^x-1)>1/(1-2^(x-1)) is 1,oo) (b) 0...

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  17. The solution set of the inequality (log)(10)(x^2-16)lt=(log)(10)(4x-11...

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  18. Which of the following is not the solution of (log)x(5/2-1/x)> 1 (a...

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

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