Home
Class 12
MATHS
Solve the equation 2x^(log(4)^(3))+3^(lo...

Solve the equation `2x^(log_(4)^(3))+3^(log_(4)^(x))=27`

Text Solution

Verified by Experts

The correct Answer is:
x=16
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Solve the equation x^(log_(x)(x+3)^(2))=16 .

Solve the equation log_((log_(5)x))5=2

Solve the equation log_(3)(5+4log_(3)(x-1))=2

Solve the equation log(3x^(2)+x-2)=3log(3x-2) .

Solve the equation log_((x^(2)+6))(x^(2)-1)=log_((2x^(2)+5x))(x^(2)-1)

Solve the equation log_(((2+x)/10))7=log_((2/(x+1)))7 .

Solve the equation 3cdotx^(log_5 2)+2^(log_5 x)=64 .

Solve the inequation 4^(x+1)-16^(x)lt2log_(4)8

Solve the equatioin 2log2x=log(7x-2-2x^(2))

Solve the equation log_(2)(3-x)-log_(2)(("sin"(3pi)/4)/(5-x))=1/2+log_(2)(x+7)

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following equations. (i) x^(1+log10x)=10x

    Text Solution

    |

  2. Solve the following equation. log2(9-2^x)=3-x

    Text Solution

    |

  3. Solve the equation 2x^(log(4)^(3))+3^(log(4)^(x))=27

    Text Solution

    |

  4. Solve the following equation. log4log3log2x=0

    Text Solution

    |

  5. Solve the following equations.x^((log10x+5)/3)=10^(5+log10x)

    Text Solution

    |

  6. Solve the following equation. log3(log9x+1/2+9^x)=2x

    Text Solution

    |

  7. Solve the following equation. 4^(log10x+1)-6^(log10x)-2.3^(log10x^2+2...

    Text Solution

    |

  8. Solve the following equation. (log10(x-3))/log(10)(x^2-21)=1/2

    Text Solution

    |

  9. Solve the following equations. x^(log2x+4)=32

    Text Solution

    |

  10. Solve the following equations. logax=x, where a=x^(logax)

    Text Solution

    |

  11. Solve the following equations. (xi) log(sqrt2sinx)(1+cosx)=2

    Text Solution

    |

  12. A rational number which is 50 times its own logarithm to the base 10, ...

    Text Solution

    |

  13. [2/log4(2000)^6+3/log5(2000)^6]

    Text Solution

    |

  14. Find the value of x satisfying loga{1+logb{1+logc(1+logpx)}}=0.

    Text Solution

    |

  15. The value of 4^(5log(4sqrt(2)(3-sqrt(6))-6log(8)(sqrt(3)-sqrt(2)))) is

    Text Solution

    |

  16. Solve the following inequation . (i) log((2x+3))x^2lt1

    Text Solution

    |

  17. Solve the following inequation . (ii) log(2x)(x^2-5x+6)lt1

    Text Solution

    |

  18. Solve the following inequation . (iii) log(2)(2-x)ltlog(1//2)(x+1)

    Text Solution

    |

  19. Solve the following inequation . (iv) log(x^2)(x+2)lt1

    Text Solution

    |

  20. Solve the following inequation . (v) 3^(log3sqrt((x-1)))lt3^(log3(x-...

    Text Solution

    |