Home
Class 12
MATHS
Solve log4(log3x)+log(1//4)(log(1//3)y)=...

Solve `log_4(log_3x)+log_(1//4)(log_(1//3)y)=0` and `x^2+y^2=17/4`.

Text Solution

Verified by Experts

The correct Answer is:
x=2 or `1/2, y=1/2`or2
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Solve :log_(4)(log_(3)(log_(2)x))=0

log_(2)log_(3)log_(4)(x-1)>0

Solve log_(4)(8)+log_(4)(x+3)-log_(4)(x-1)=2

Solve: log_(1/3) (x-1) > log_(1/3) 4

Solve 4^(log_(9)x)-6x^(log_(9)2)+2^(log_(3)27)=0 .

Solve log_(4)(x-1)= log_(2) (x-3) .

Solve :3log_(x)(4)+2log_(4x)4+3log_(16x)4=0

Solve :2(log)_(3)x-4(log)_(x)27 1)

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

Solve : log_4 8+ log_4(x+3)-log_4(x-1)=2

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following inequation . (xv) x^((log10x)^2-3log10x+1)gt1000

    Text Solution

    |

  2. Solve the following inequation . (xvi) log4{14+log6(x^2-64)}le2

    Text Solution

    |

  3. Solve the following inequation . (xvii) log2(9-2^x)le10^(log10(3-x))

    Text Solution

    |

  4. Solve the following inequation . (xviii) loga((2x+3)/x)ge0 for (a) a...

    Text Solution

    |

  5. Solve the following inequation . (xix) 1+log2(x-1)lelog(x-1)4

    Text Solution

    |

  6. Solve the following inequation . (xx) log(5x+4)x^2lelog(5x+4)(2x+3)

    Text Solution

    |

  7. Solve sqrt(logx(a x)^(1/5)+loga(a x)^(1/5))+sqrt(loga(x/a)^(1/5)+logx(...

    Text Solution

    |

  8. It is known that x=9 is root of the equation.loglamda(x^2+15a^2)-logla...

    Text Solution

    |

  9. Solve log4(log3x)+log(1//4)(log(1//3)y)=0 and x^2+y^2=17/4.

    Text Solution

    |

  10. Find the real values (s) of x satisfying the equation log(2x)(4x)+log(...

    Text Solution

    |

  11. Find the sum and product of all possible values of x which makes the ...

    Text Solution

    |

  12. Solve : (3)/(2)log(4)(x+2)^(2)+3=log(4)(4-x)^(3)+log(4)(6+x)^(3).

    Text Solution

    |

  13. Solve log2(4^(x+1)+4).log2(4^x+1)=log(1//sqrt2)(1/sqrt8).

    Text Solution

    |

  14. Solve the system of equation 2^(sqrtx+sqrty)=256 and log10sqrt(xy)-log...

    Text Solution

    |

  15. Solve the system of equations log2y=log4(xy-2),log9x^2+log3(x-y)=1.

    Text Solution

    |

  16. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

    Text Solution

    |

  17. Solve log3(sqrtx+|sqrtx-1|)=log9(4sqrtx-3+4|sqrtx-1|).

    Text Solution

    |

  18. In the equality (log2x)^4-(log(1//2)"x^5/4)^2-20log2x+148lt0 holds...

    Text Solution

    |

  19. Find the value of x satisfying the equation, sqrt((log3(3x)^(1/3)+logx...

    Text Solution

    |

  20. If P is the number of natural numbers whose logarithms to the base 10 ...

    Text Solution

    |