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

Find the value of x satisfying the equation, `sqrt((log_3(3x)^(1/3)+log_x(3x)^(1/3))log_3(x^3))+sqrt((log_3(x/3)^(1/3)+log_x(3/x)^(1/3))log_3(x^3))=2`

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

Find the values of x satisfying the equation |x-2|^(log_(3)x^(4)-3log_(x)9)(x-2)^(10)=1 .

Find the value of x satisfying the equation,sqrt((log_(3)3sqrt(3)x+log_(x)3sqrt(3)x)*log_(3)x^(3))+sqrt(((log_(3)(3sqrt(x)))/(3)+(log_(x)(3sqrt(x)))/(3))*log_(3)x^(3))=2

Find the value of x satisfying the equation ((log)_(3)3x3+(log)_(x)3x3)log_(3)x^(3)+((log)_(3)x/33+(log)_(x)3/x3)log_(3)x^(3)=2

Sum of the values of x satisfying the equation log_(3)(5x-6)log_(x)sqrt(3)=1 is

sqrt(log_(3)(3x^(2))log_(9)(81x))=log_(9)x^(3)

Find the integral value of x satisfying the equation |log_(sqrt(3))x-2|-|log_(3)x-2|=2

The value of x for which the equation 5*3^(log_(3)x)-2^(1-log_(2)x)-3=0

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3

The value of x satisfying the equation 3sqrt(5)^((log_5) 5^(((log)_5(log)_5log_5(x/2))) = 3 1 (b) 3 (c) 18 (d) 54

3^(log_(3))sqrt(x-1)<3^(log_(3)(x-6))+3

BANSAL-LOGARITHM-All Questions
  1. Find the value of x satisfying (log)(10)(2^x+\ x-41)=x\ (1-(log)(10)...

    Text Solution

    |

  2. Positive numbers x , y\ and\ z satisfy x y z\ =\ 10^(81) and (log(10)x...

    Text Solution

    |

  3. Find the number of integral solution of the equation log(sqrt(x))(x+|x...

    Text Solution

    |

  4. Suppose p , q ,r and s in NN satisfying the relation p+1/(q+1/(r+1/s))...

    Text Solution

    |

  5. If x and y are real numbers, such that 2log(2y-3x)=logx+logy, then fin...

    Text Solution

    |

  6. given log(10)(34.56) find the value of the following log(10)(3.456) , ...

    Text Solution

    |

  7. If log(10)2=0.3010 ,\ log(10)3=0.4771. Find the number of integers in ...

    Text Solution

    |

  8. If log(3)M=a1+b1 and log5M=a2+b2 where a1,a2 in N and b1,b2 in [0,1). ...

    Text Solution

    |

  9. If log(3x) 45 = log(4x) 40sqrt3 then find the characteristic of x^3...

    Text Solution

    |

  10. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  11. Prove that 2^{{sqrt(loga 4sqrtab + logb 4sqrtab)-sqrt((loga)4sqrt(b/a...

    Text Solution

    |

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

    Text Solution

    |

  13. Given that log2 a=s, log4 b=5^2 and log(c^2) (8)=2/(s^3+1). Write log2...

    Text Solution

    |

  14. let y=sqrt(log23log2(12)log2(48)log2(192)+16)-log2(12)log2(48)+10find ...

    Text Solution

    |

  15. The least value of the expression 2(log)(10)x-(log)x(0. 01), for x &g...

    Text Solution

    |

  16. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

    Text Solution

    |

  17. The equation x^((3/4)(log2 x)^2 + (log2 x) - (5/4))=sqrt(2) has (1)a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |