Home
Class 12
MATHS
The value of x+y+z satisfying the system...

The value of `x+y+z` satisfying the system of equations
`log_(2)x+log_(4)y+log_(4)z=2` is
`log_(3)y+log_(9)z+log_(9)x=2`
`log_(4)z+log_(16)x+log_(16)y=2`

A

`(175)/(12)`

B

`(349)/(24)`

C

`(353)/(24)`

D

`(112)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

Solve for x, y , z . log_2 x + log_4 y + log_4 z =2 log_3 y + log_9 z + log_9 x =2 log_4 z + log_16 x + log_16 y =2

Solve log_(6) 9-log_(9) 27 + log_(8)x = log_(64) x - log_(6) 4 ..

Solve log_(6) 9-log_(9) 27 + log_(8)x = log_(64) x - log_(6) 4 ..

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

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

Find the real solutions to the system of equations log_(10)(2000xy)-log_(10)x.log_(10)y=4 , log_(10)(2yz)-log_(10)ylog_(10)z=1 and log_(10)zx-log_(10)zlog_(10)x=0

Find the value of x satisfying the equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y)=1 and xy^(2)=9

If "log"_(2) a + "log"_(4) b + "log"_(4) c = 2 "log"_(9) a + "log"_(3) b + "log"_(9) c = 2 "log"_(16) a + "log"_(16) b + "log"_(4) c =2 , then

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

VK JAISWAL ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. The value of x+y+z satisfying the system of equations log(2)x+log(4...

    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

    |