Home
Class 11
MATHS
Solve the equation sqrt(a(2^x-2)+1)=1-2^...

Solve the equation `sqrt(a(2^x-2)+1)=1-2^x` for every value of the parameter a.

Text Solution

Verified by Experts

`x log_2 a` where, `a in (0,1]`
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

Solve the equation x(x+2)(x^2-1)=-1.

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then find the values of the parameter a for which the equation x+1/x=t gives six real and distinct values of x .

Solve sqrt(x-2) ge -1.

Solve the inequality sqrt((log)_2((2x-3)/(x-1)))<1

Solve the equation x^2-x+1=1/2+sqrt(x-3/4), w h e r e xgeq3/4

Solve the equations : (x-2)(x-3)-(a+1)/(a^(2))=0

Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

Solve the equations. tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,(x >0)

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is a. sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve the following inequalities : log((3x^2+1))2lt1/2

    Text Solution

    |

  2. Solve the following inequalities : log(x^2)(2+x)lt1

    Text Solution

    |

  3. Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...

    Text Solution

    |

  4. Solve the following linear equations absx^2=absx+4=2x^2-3absx+1

    Text Solution

    |

  5. Solve the following linear equations abs(abs(x-1)-2)=abs(x-3)

    Text Solution

    |

  6. Solve the simultaneous equations abs(x+2)+y=5 and x-absy=1

    Text Solution

    |

  7. Find the solution set of abs(2x-3)+abs(x+5)leabs(x-8)

    Text Solution

    |

  8. If 3 sinalpha=5sin beta, then find the value of ("tan"(alpha+beta)/2)/...

    Text Solution

    |

  9. If y = cos^2(45^@+x)+(sin x - cos x)^2, then find the maximum and mini...

    Text Solution

    |

  10. Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x ...

    Text Solution

    |

  11. For all values of alpha,beta,gamma prove that: cos alpha + cos beta+ ...

    Text Solution

    |

  12. If m tan (theta - 30^@) = n tan(theta+120^@), show that cos2theta = (m...

    Text Solution

    |

  13. Solve the following inequalities : (abs(x-1)-3)(abs(x+2)-5)lt0

    Text Solution

    |

  14. Solve the following inequalities : sin 3x lt sin x

    Text Solution

    |

  15. Solve the following inequalities : tan^2 x-(1+sqrt3)tan x+ sqrt3lt0

    Text Solution

    |

  16. If x,y,z, in R such that x+y+z=4, x^2+y^2+z^2=6 then find the range of...

    Text Solution

    |

  17. Complete set of values of x satisfying the inequality x-3 lt sqrt(x^...

    Text Solution

    |

  18. The set of all values of x for which sqrt(-x^2+5x-6)/(sqrt(1-2{x}))ge0...

    Text Solution

    |

  19. The solution of the inequality (abs(x+2)-absx)/sqrt(4-x^3)ge0 is

    Text Solution

    |

  20. Exhaustive set of values of x satisfyinglogabsx(x^2+x+1)ge0 is

    Text Solution

    |