Home
Class 12
MATHS
The value of ' x ' satisfying the equati...

The value of `' x '` satisfying the equation, `4^((log)_9 3)+9^((log)_2 4)=10^((log)_x 83)` is______.

A

`3`

B

`4`

C

`2`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (true and false)|1 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (fill in the blanks)|14 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (Fill in the blanks)|9 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

Similar Questions

Explore conceptually related problems

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

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

The value of x satisfying the equation 2^(log3x)+8=3*x^(log_(9)4), is

The value of x satisfying the equation 2^(log_2e^(In^5log 7^(log_10^(log_10(8x-3)))

Let L denotes the value of a satisfying the equation log_(sqrt(3))(a) =(10)/(3) and M denotes the value of b satisfying the equation 4^(log_(9)^(3)) + 9^(log_(2)^(4)) = 10 ^(log_(b)^(83)). Find (L+M)

The value of x satisfies the equation (1-2(log x^(2)))/(log x-2(log x)^(2))=1

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

The value(s) of x satisfying the equation 4^(log_(2)(ln x))-1+ln^(3)x-ln^(2)x-5ln x+7=0

ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. The number of solutions of the equation 125^(x)+45^(x)=2.27^(x) is

    Text Solution

    |

  2. The number of solutions of (log5+log(x^(2)+1))/(log(x-2))=2 is

    Text Solution

    |

  3. The value of ' x ' satisfying the equation, 4^((log)9 3)+9^((log)2 4)=...

    Text Solution

    |

  4. If 5^(1+log(4)x)+5^(-log4x-1)=(26)/(5), then x=

    Text Solution

    |

  5. The solution set of the equation x^(log(x)(1-x)^(2))=9 is

    Text Solution

    |

  6. If 7^(log(7)(x^(2)-4x+5))=(x-1), then x may have values

    Text Solution

    |

  7. Sum of the roots of the equation 9^(log(3)(log(2)x))=log(2)x-(log(2)x)...

    Text Solution

    |

  8. The equation 5^(1+log(5)cosx)=2*5 has

    Text Solution

    |

  9. If x^(log(3)x^(2)+(log(3)x)^(2)-10)=1//x^(2), then x=

    Text Solution

    |

  10. If x^([(log(2)x)^(2)-6log(2)x+11])=64, then x=

    Text Solution

    |

  11. If log(3)2,log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in arithmetic pr...

    Text Solution

    |

  12. The equation x^((3//4)(log(2)x)^(2)+log(2)x-5//4)=sqrt(2) has

    Text Solution

    |

  13. The value of x satisfying the equation |x-1|^(log(3)x^(2)-2log(x)9)=(x...

    Text Solution

    |

  14. (6)/(5)a^(log(a)xlog(10)alog(a)5)-3^(log(10)(x//10))=9^(log(100)x+log(...

    Text Solution

    |

  15. The equation x^([(log(3)x)^(2)-(9//2)log(3)x+5])=3sqrt(3) has

    Text Solution

    |

  16. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

    Text Solution

    |

  17. The solution of the equation 5^(log(a)x)+5x^(log(a)5)=3, (agt0) is

    Text Solution

    |

  18. log(10)x+log(10)x^(1//2)+log(10)x^(1//4)+....=y and (1+3+5+...(2y-1))/...

    Text Solution

    |

  19. log((2x+3))(6x^(2)+23x+21) =4-log((3x+7))(4x^(2)+12x+9), then x=

    Text Solution

    |

  20. The number of solutions of the equation log(x-3)(x^(3)-3x^(2)-4x+8)=3 ...

    Text Solution

    |