Home
Class 9
MATHS
Solve the equation for x : (i)\ 4^(2x)=...

Solve the equation for `x :` `(i)\ 4^(2x)=1/(32)` `(ii)\ sqrt((3/5)^(1-2x))=4(17)/(27)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Solve the equation for x: 2^(2x+1)=17. 2^x-2^3

Solve for x : sqrt(((3)/(5))^(1-2x))=4(17)/(27)

Solve the following equations for x\ : (i)\ 4^(2x)=1/(32) (ii)\ 4^(x-1)\ xx\ (0. 5)^(3-2x)=(1/8)^x (iii)\ 2^(3x-7)=256

Solve the equation sqrt((6-4x-x^(2)))=x+4

solve the equations (i) x^2-2x-8 (ii) 4s^2-4s+1

Solve the equation for x : log4+(1+1/(2x))log3=log(3^(1/x)+27)

Solve the following equations for x\ : (i)\ 7^(2x+3)=1 (ii)\ 2^(x+1)=4^(x-3) (iii)\ 2^(5x+3)=8^(x+3)

Solve the following equations for x\ : (i)\ 2^(2x)-\ 2^(x+3)+2^4=0 (ii)\ 3^(2x+4)+1=2. 3^(x+2)

Solve the following equations: (i)\ 3^(x+1)=27\ xx\ 3^4 \ and (ii) (1/2)^(3+x)=(1/4)^(3y)

Solve the following equations: (i) 2^(x-5)=256 (ii) 2^(x+3)=4^(x-1)

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. If x=3,\ find the value of (x^(1/3)+\ x^(-1/3))\ (x^(2/3)+x^(-2/3)-1\...

    Text Solution

    |

  2. If 25^(n-1) + 100 = 5^ (2n-1), find the value of n :

    Text Solution

    |

  3. Solve the equation for x : (i)\ 4^(2x)=1/(32) (ii)\ sqrt((3/5)^(1-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Simplify: (i)(32)^(-3/5) (ii) (343)^(-2/3)

    Text Solution

    |

  15. Simplify: (i)\ ((25)^(3/2)\ xx\ (243)^(3/5))/((16)^(5/4)\ xx\ (8)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |