Home
Class 9
MATHS
Solve the equation: 3(2^x+1)-2^(x+2)+5=0...

Solve the equation: `3(2^x+1)-2^(x+2)+5=0`

Text Solution

AI Generated Solution

To solve the equation \( 3(2^{x+1}) - 2^{(x+2)} + 5 = 0 \), we will follow these steps: ### Step 1: Simplify the equation Start by rewriting the equation: \[ 3(2^{x+1}) - 2^{(x+2)} + 5 = 0 \] We can express \( 2^{(x+1)} \) and \( 2^{(x+2)} \) in terms of \( 2^x \): ...
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|23 Videos
  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Solve the equation: x^(2)-x+2=0

Solve the equation: x^(2)+3=0

Solve the equation -x^(2)+x-2=0

Solve the equation 5^(2x)+24.5^(x)-25=0 .

Solve the equation: 2x^(2)+x+1=0

Solve the equation: x^(2)-2x+(3)/(2)=0

Solve the equation 2x^(2)+x-3=0

Solve the equation 2x^(2)+5x-12=0

Solve the equation: x^(2)+3x+5=0

Solve the equation: 3x^(2)-4x+(20)/(3)=0

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Solve the equation for x : (5^0+2/3)^2 3=(0. 6)^(3-2x)

    Text Solution

    |

  2. Solve the equation for x : 2^3(5^0+3^(2x))=\ 8 8/(27)

    Text Solution

    |

  3. Solve the equation: 3(2^x+1)-2^(x+2)+5=0

    Text Solution

    |

  4. Solve the equations for x\ a n d\ y 3^x=9\ xx\ 3^y ,\ 8\ xx\ 2^y=4^x

    Text Solution

    |

  5. Solve the equation for x\ a n d\ y (32)^x-:2^(y+1)=1,\ 16^(4-x/2)-8^y...

    Text Solution

    |

  6. If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

    Text Solution

    |

  7. If a^x=b^y=c^z\ a n d\ b^2=a c , prove that y=(2x z)/(x+z)

    Text Solution

    |

  8. Assuming that x ,\ y ,\ z are positive real numbers, simplify each of ...

    Text Solution

    |

  9. Assuming that x ,\ y ,\ z are positive real numbers, simplify each of ...

    Text Solution

    |

  10. Assuming that x ,\ y ,\ z are positive real numbers, simplify each of ...

    Text Solution

    |

  11. Simplify: (i)\ (16^(-1/5))^(5/2) (ii)\ (32)^(-3/5) (iii)\ (343...

    Text Solution

    |

  12. Simplify: (i)\ (0. 001)^(1/3) (ii)\ ((25)^(3/2)\ xx\ (243)^(3/5))/...

    Text Solution

    |

  13. Simplify: (i)\ ((sqrt(2))/5)^8\ -:((sqrt(2))/5)^(13) (ii)\ ((5^(-1...

    Text Solution

    |

  14. Prove that: (sqrt(3\ xx\ 5^(-3))\ -:root(3)(3^(-1))\ sqrt(5))\ xx\ ...

    Text Solution

    |

  15. Prove that: 9^(3/2\ )-\ 3\ xx\ 5^0-\ (1/(81))^(-1/2)=15

    Text Solution

    |

  16. Prove that: (1/4)^(-2)-3\ xx\ 8^(2/3)\xx\ 4^0+\ (9/(16))^(-1/2)=(16)/3

    Text Solution

    |

  17. Prove that: (2^(1/2)\ xx\ 3^(1/3)\ xx\ 4^(1/4))/(10^(-1/5)\ xx\ 5^(3/5...

    Text Solution

    |

  18. Prove that: (i)\ sqrt(1/4)+\ (0. 01)^(-1/2)-\ (27)^(2/3)=3/2 (ii)\...

    Text Solution

    |

  19. Prove that: ((64)/(125))^(-2/3)+1/(((256)/(625))^(1/4))+\ ((sqrt(25))/...

    Text Solution

    |

  20. Prove that: (3^(-3) xx 6^2xx sqrt(98))/(5^2 xx root(3)(1/(25)) xx (15)...

    Text Solution

    |