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Solve for x (i) 2^(|x+1|)+2^(|x|)=6 an...

Solve for `x`
`(i) 2^(|x+1|)+2^(|x|)=6` and `x in I`
`(ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2|`
`(iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0`

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The correct Answer is:
`(i) -2,1` `(ii) [3,oo)` `(iii) [-1,1]uu[2,oo)`
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RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Define and plot (i) y=|x-2|+3|x-3| (ii) y=||x-2|-3|+|x| (iii)y=|x-...

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  2. Using the Remainder Theorem, factorise each of the following completel...

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  3. Solve for x (i) 2^(|x+1|)+2^(|x|)=6 and x in I (ii) x^(2)+x+1+|x-3...

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  4. Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 ...

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  5. Find the number of solution of the following equation (i) |||x-1|-2|...

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  6. If graph of y=(x-1)(x-2) is then draw the graph of the following ...

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  7. Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 ...

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  8. Find the value of (i) (log(10)5)(log(10)20)+(log(10)2)^(2) (ii) root3...

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  9. Let log(10)2=a and log(10)3=b determine the following in term of a and...

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  10. Prove that : (log(2)10)(log(2)80)-(log(2)5)(log(2)160)=4 .

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  11. Solve the following equations : (i) log(x)(4x-3)=2 (ii) log2(x-1)+log(...

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  12. Solve the following equations (i) (log(2)(9-2^(x)))/(3-x)=1 (ii) ...

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  13. Solve the following inequalities (i) log(5)(3x-1) lt 1 (ii) (log(.5)...

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  14. Solve the following inequalities (i) |log(3)x|-log(3)x-3 lt 0 (ii)(x...

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  15. Solve: 15^x-25* 3^x-9*5^x+225 >= 0.

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  16. Solve for x (where [*] denotes greatest integer function and {*} repre...

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  17. Solve the following equation (where [*] denotes greatest integer funct...

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  18. Solve the following inequalities (where [*] denotes greatest integer f...

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  19. Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=...

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  20. Find the number of solutions of equation (where sgn represent signum f...

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