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Solve 2^(sin^2x) + 5.2^(cos^2x)= 7....

Solve `2^(sin^2x) + 5.2^(cos^2x)= 7`.

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Solve for x : 3x^3={x^2+ sqrt18x+sqrt32} {x^2- sqrt18x-sqrt32} -4x^2.

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  2. Solve (18)^(8-4x)=(54 sqrt 2)^(3x-2).

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  3. Solve 2^(sin^2x) + 5.2^(cos^2x)= 7.

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  4. Solve for x: 4^(x+1.5) + 9^(x+0.5) = 10.6^x.

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  5. Solve for x(5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10 (1985,5M)

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  6. Solve (sqrt3+1)^(2x)+(sqrt3-1)^(2x)=2^(3x).

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  7. If a>1, prove that the solutions of the following equation in x is ind...

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  8. Solve for x : x+(log)(10)(1+2^x)=xdot(log)(10)5+log(10)6

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  9. x के लिए, निम्न समीकरण को हल कीजिए log((2x+3))(6x^(2)+23x+21)=4-log(...

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  10. Solve 25^(log(10)x)=5+4x^(log(10)5)

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  11. Solve |x^2+4x+3|+2x+5=0.

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  12. For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3...

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  13. Solve (x+2)^2 -3 abs(x+2)+2=0 .

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  14. Solve abs(x+1)+ abs(x-1) =2.

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  15. log(|x+6|) 2 . log2 (x^2-x-2) >= 1

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  16. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

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  17. Let {x} and [x] denote the fractional and integral part of a real numb...

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  18. If x,y,z are positive intergers and x+y+z=240 and x^2 + y^2= z^2 then ...

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  19. Find the positive solutions of the system of equations x^(x+y)=y^n and...

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  20. Solve the equations log1000 |x+y| = 1/2 . log10 y - log10 |x| = log100...

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