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Prove that : (log(2)10)(log(2)80)-(log(2...

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

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RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Find the value of (i) (log(10)5)(log(10)20)+(log(10)2)^(2) (ii) root3...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Solve the following equation (i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0...

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  15. Find the number of solution of the following equation |sin x|=|x/10|

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  16. Solve the inequation 2^(1/(cos^2 x))sqrt(y^2-y+1/2)<= 1

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  17. Which of the following are true: \ (2xx3)! =2!xx3!

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  18. The shaded region in the given figure is

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  19. Consider the following statements : 1. Nuu(BnnZ)=(NuuB)nnZ for any s...

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  20. Which of the following venn-diagrams best represents the sets of femal...

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