Home
Class 12
MATHS
4^(log9 3)+9^(log2 4)=1 0^(logx 83), the...

`4^(log_9 3)+9^(log_2 4)=1 0^(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
`(4)^(log_(9)3)+(9)^(log_(2)4)=(10)^(log_(x)83)`
` or (4)^(1/2log_(3)3)+(9)^(2log_(2)2)=(10)^(log_(x)83)`
`or 2+81 = (10)^(log_(x) 83)`
`or 83 = (10)^(log_(x) 83)`
` rArr x = 10`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise (Comprehension)|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.6|6 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

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

If 4^(log_(9)(3))+9^(log_(2)(4))=10^(log_(x)(83)) then x=

If 4^("log"_(9)3) + 9^("log"_(2)4) = 10^("log"_(x)83), "then" x =

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

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

If 4^(log16^4)+9^(log3^9)=10^(logx^83 , find x.

The number of real solution(s) of the equation 9^(log_(3)(log_(e )x))=log_(e )x-(log_(e )x)^(2)+1 is equal to

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

CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise (Single)
  1. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals

    Text Solution

    |

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

    Text Solution

    |

  3. 4^(log9 3)+9^(log2 4)=1 0^(logx 83), then x is equal to

    Text Solution

    |

  4. Solve (x+1)^(log(10) (x+1))=100(x+1)

    Text Solution

    |

  5. If log2x+logx2=10/3=log2y+logy2 and x!=y ,then x+y=

    Text Solution

    |

  6. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

    Text Solution

    |

  7. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

    Text Solution

    |

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

    Text Solution

    |

  9. The equation log4(2-x)+log(0.25)(2+x)=log4(1-x)+log(0.25)(2x+1) has

    Text Solution

    |

  10. The values of b for which the equation 2log(1/25)(bx+28)=1log5(12-4x-x...

    Text Solution

    |

  11. If the equation 2^x+4^y=2^y is solved for y in terms of x where x<0, t...

    Text Solution

    |

  12. The number of solution of x^(log(x)(x+3)^(2)) = 16 is

    Text Solution

    |

  13. The product of roots of the equation (log(8)(8//x^(2)))/((log(8)x)^(2)...

    Text Solution

    |

  14. Let agt1 be a real number . If S is the set of real number x that are...

    Text Solution

    |

  15. the number of roots of the equation log(3sqrtx) x + log(3x) (sqrtx) =0...

    Text Solution

    |

  16. The set of all x satisfying the equation x^(log)3x^2+((log)3x)^(2-10)=...

    Text Solution

    |

  17. Number of real values of x satisfying the equation (log)2(x^2-x)(log)...

    Text Solution

    |

  18. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

    Text Solution

    |

  19. If x1a n dx2 are the roots of the equation e^2 x^(lnx)=x^3 with x1> x2...

    Text Solution

    |

  20. The number of real values of the parameter k for which (log(16)x)^2-(l...

    Text Solution

    |