Home
Class 12
MATHS
If (4)^(log(9) 3)+(9)^(log(2) 4)=(10)^(l...

If `(4)^(log_(9) 3)+(9)^(log_(2) 4)=(10)^(log_(x) 83)`, then x is equal to

A

2

B

3

C

10

D

30

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

4^(log_9 3)+9^(log_2 4)=1 0^(log_x 83) , then x is equal to

If 2x^(log_(4)3)+3^(log_(4)x)= 27 , then x is equal to

If 2x^((log)_4 3)+3^((log)_4x)=27 , then x is equal to

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

If log_(2)(log_(2)(log_(3)x))=log_(3)(log_(3)(log_(2)y))=0 , then x-y is equal to :

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

If log_(sqrt(2)) sqrt(x) +log_(2)(x) + log_(4) (x^(2)) + log_(8)(x^(3)) + log_(16)(x^(4)) = 40 then x is equal to-

If "log"_(8){"log"_(2) "log"_(3) (x^(2) -4x +85)} = (1)/(3) , then x equals to

Solve x^(log_(4) x)=2^(3(log_(4)x+3) .

Solve 4^(log_(9)x)-6x^(log_(9)2)+2^(log_(3)27)=0 .

VK JAISWAL ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. If (4)^(log(9) 3)+(9)^(log(2) 4)=(10)^(log(x) 83), then x is equal to

    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

    |