Home
Class 12
MATHS
Find the value of x satisfying the equ...

Find the value of `x` satisfying the equation `((log)_3 (3x)^(1/3)+(log)_x(3x)^(1/3))dot(log)_3x^3+((log)_3(x/3)^(1/3)+(log)_x(3/x)^(1/3))dot(log)_3x^3=2`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Solve the equation 2x^(log_(4)^(3))+3^(log_(4)^(x)=27

Solve the equation log_(x)^(3)10-6log_(x)^(2)10+11log_(x)10-6=0

Solve the inequation log_(2x+3)x^(2)ltlog_(2x+3)(2x+3)

Solve the equation 2log_(3)x+log_(3)(x^(2)-3)=log_(3)0.5+5^(log_(5)(log_(3)8)

Solve the equation log_(3)(5+4log_(3)(x-1))=2

Find the x satisfying the equation log^2(1+4/x)+log^2(1-4/(x+4))=2log^2(2/(x-1)-\ 1)dot

Solve the equation x^(log_(x)(x+3)^(2))=16 .

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Solve the equation log_(1//3)[2(1/2)^(x)-1]=log_(1//3)[(1/4)^(x)-4]

ALLEN -LOGARITHMS-All Questions
  1. Solve for x :(log)5 120+(x-3)-2.(log)5(1-5^(x-3))=-(log)5(0. 2-5^(x-4)...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the real solutions to the system of equations log(10)(2000xy)-log...

    Text Solution

    |

  4. Find the x satisfying the equation log^2(1+4/x)+log^2(1-4/(x+4))=2lo...

    Text Solution

    |

  5. Solve for x:\ log^2 (4-x)+log(4-x)*log(x+1/2)-2log^2(x+1/2)=0

    Text Solution

    |

  6. Solve the following equation for x\ &\ y :(log)(100)|x+y|=1/2,(log)(10...

    Text Solution

    |

  7. Find all real numbers x which satisfy the equation 2(log)2log\ 2x+(l...

    Text Solution

    |

  8. log(3/4)log8(x^2+7)+log(1/2)log(1/4)(x^2+7)^(-1)=-2

    Text Solution

    |

  9. Given (log)(10)34. 56=1. 5386 ,\ find (log)(10)3. 456 ;(log)(10)0. ...

    Text Solution

    |

  10. Find the number of positive integers which have the characteristics 3 ...

    Text Solution

    |

  11. If (log)(10)2=0. 3010\ &(log)(10)3=0. 4771.\ Find the value of (log...

    Text Solution

    |

  12. Find the antilogarithm of 0.75 if the base of the logarithm is 2401.

    Text Solution

    |

  13. Let 'L' denotes the antilog of 0.4 to the base 1024. and 'M' denotes t...

    Text Solution

    |

  14. Find the product of the positive roots of the equation sqrt((2008))...

    Text Solution

    |

  15. Solve: (log)3(sqrt(x)+|sqrt(x)-1|)=(log)9(4sqrt(x)-3+4|sqrt(x)-1|)

    Text Solution

    |

  16. Find the value of x satisfying the equation ((log)3 (3x)^(1/3)+(lo...

    Text Solution

    |

  17. The number of solutions of (log)4(x-1)=(log)2(x-3) is (2001, 2M) (a)...

    Text Solution

    |

  18. Let (x0, y0) be the solution of the following equations: (2x)^(ln2)=(3...

    Text Solution

    |

  19. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

    Text Solution

    |

  20. If 3^x=4^(x-1) , then x=, (a)(2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log...

    Text Solution

    |