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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 PUBLICATION-LOGARITHM-All Questions
  1. Solve : 6((log)x2-(log)4x)+7=0.

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  2. Solve 4^(log(2)log(x))=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^((log2x)))^(1/4)dot

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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> x2...

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  10. If x y^2=4a n d(log)3((log)2x)+(log)(1/3)((log)(1/2)y)=1,t h e nxe q u...

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  11. x^((log)5x)>5 implies x in (0,oo) (b) [2,2.5] (c) (2,2.5) (d) (0,2...

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

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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 t...

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

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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 a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

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

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

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