Home
Class 12
MATHS
If log(16)(log(root(4)(3))(log(root(3)(5...

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

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • 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

log_(3)root(9)(3)=

The value of e^("log"_(e) x+ "log"_(sqrt(e)) x+ "log"_(root(3)(e)) x + …. + "log"_(root(10)(e))x), is

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z 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

If (log_(3)x)(log_(5)3)=3 , find x.

Let P=(5)/((1)/(log_(2)x)+(1)/(log_(3)x)+(1)/(log_(4)x)+(1)/(log_(5)x))and (120)^(P)=32 , then the value of x be :

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

Solve log_(2)((4)/(x+3))>log_(2)(2-x)

If log_(3)2,log_(3)(2^(x)-5) and log_(3)(2^(x)-7/2) are in A.P., then x is equal to

Find the value of log_(2) (2root(3)9-2) + log_(2)(12root(3)3+4+4root(3)9) .

VK JAISWAL ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. The number N=6^(log(10)40)*5^(log(10)36) is a natural number. Then s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If log(b) n = 2 and og(n) 2b = 2, then find the value of b.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |