Home
Class 12
MATHS
Product of all values of x satisfying th...

Product of all values of x satisfying the equation `sqrt(2^(x)root(3)(4^(x)(0.125)^(1//x)))=4(root(3)(2))` is :

A

`(14)/(5)`

B

3

C

`-(1)/(5)`

D

`-(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

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

  • LOGARITHMS

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

  • LIMIT

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

  • MATRICES

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

Similar Questions

Explore conceptually related problems

sqrt(2^x(4^x(0. 125)^(1/ x))^(1/3))=4.(2^(1/3))

sqrt(x^(-2)y^(3)) root(4)(root(3)(x^(2)))

The value of x in (0,pi/2) satisfying the equation, (sqrt3-1)/sin x+ (sqrt3+1)/cosx=4sqrt2 is -

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

The number of values of x in (0, pi) satisfying the equation (sqrt(3) "sin" x + "cos" x) ^(sqrt(sqrt(3)"sin" 2x -"cos" 2x+ 2)) = 4 , is

What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=0 ?

sqrt(4x)=x-3 What are all values of x that satisfy the given equation? I.1 II. 9

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The number of real solutions of the equation root4(97-x) + root4(x) =5 (1) 0 (2) 1 (3) 2 (4) 4

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4

VK JAISWAL ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. Product of all values of x satisfying the equation sqrt(2^(x)root(3)(...

    Text Solution

    |

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

    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 og(n) 2b = 2, then find the value of b.

    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

    |