Home
Class 12
MATHS
The product of all values of x satisfyi...

The product of all values of x satisfying the equations `log_(3)a-log_(x)a=log_(x//3)a` is :

A

3

B

`(3)/(2)`

C

18

D

27

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|7 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • MATRICES

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|5 Videos

Similar Questions

Explore conceptually related problems

The value of x satisfying the equation 2log_(3)x+8=3.x log_(9)4

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

Find the product of all real values of x satisfying the equation |3^(log_(3)^(2)x)-9|-2*x^(log_(3)x)=0

The value(s) of x satisfying the equation log_(2)x+2log_(2)x-log_(2)(x-1)=3, is

Value of x satisfying the equation log_(2)(9-2^(x))=x-3 is :

The value of ' x 'satisfying the equation,4^(log_(9)3)+9^(log_(2)4)=10^(log_(x)83) is

Sum of all values of x satisfying the system of equations 5 (log_(y)x+log_(x)y)=26, xy=64 is :

The value of x :satisfying the equation log_(4)(2log_(2)x)+log_(2)(2log_(4)x)=2 is

The values of x, satisfying the equation for AA a>0,2log_(x)a+log_(ax)a+3log_(a^(2)x)a=0 are

The sum of all possible values of x satisfying the equation 6log_(x-1)10+log_(10)(x-1)=5

VK JAISWAL-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. The product of all values of x satisfying the equations log(3)a-log(...

    Text Solution

    |

  2. The number N=6^(log(10)40). 5^(log(10)36) is a natural number ,Then su...

    Text Solution

    |

  3. The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...

    Text Solution

    |

  4. How many positive integers b have the property that log(b)729 is a pos...

    Text Solution

    |

  5. The number of negative integral values of x satisfying the inequality ...

    Text Solution

    |

  6. (6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...

    Text Solution

    |

  7. If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...

    Text Solution

    |

  8. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  9. The number of real values of x satisfying the equation log(10) sqrt(...

    Text Solution

    |

  10. The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...

    Text Solution

    |

  11. If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...

    Text Solution

    |

  12. The number of ordered pair(s) of (x, y) satisfying the equations log...

    Text Solution

    |

  13. If log(b)n=2 and log(n)(2b)=2, then nb=

    Text Solution

    |

  14. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  15. If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=

    Text Solution

    |

  16. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  17. If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...

    Text Solution

    |

  18. Find the number or real values of x satisfying the equation 9^(2log(9)...

    Text Solution

    |

  19. If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.

    Text Solution

    |

  20. The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...

    Text Solution

    |