Home
Class 9
MATHS
Solve the equation for x : 2^3(5^0+3^(2...

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

Text Solution

Verified by Experts

`2^3(5^0+3^(2x))=\ 8 8/(27)`
`8(1+3^(2x))=224/27`
`(1+3^(2x))=224/(27xx8)`
`3^(2x)=28/27-1`
`3^(2x)=1/27`
`3^(2x)=3(-3)`
`2x=-3`
`x=-3/2`
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.(2x)/(3)=8

Solve the equation for x:(5^(0)+(2)/(3))^(2)3=(0.6)^(3-2x)

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

Solve the equation, 7/(8-x)=2/3

Solve the equation.(8x-3)/(3x)=2

Solve the inequation: 3(x-2)le5x+8

Solve the equations for x and y3^(x)=9x3^(y),8x2^(y)=4^(x)

Solve the following equations for x:4^(2x)=(1)/(32)( ii) 4^(x-1)x(0.5)^(3-2x)=((1)/(8))^(x)2^(3x-7)=256

Solve the equation (x+2)(x+3)(x+8)xx(x+12)=4x^(2)

Solve the equation and verify your answer: ((2x+3)-\ (5x-7))/(6x+11)=\ -8/3

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Solve the equation for x : (i)\ 4^(2x)=1/(32) (ii)\ sqrt((3/5)^(1-...

    Text Solution

    |

  2. Solve the equation for x : (5^0+2/3)^2 3=(0. 6)^(3-2x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |