Home
Class 9
MATHS
If x^2+y^2=11xy,then prove that log((x+y...

If `x^2+y^2=11xy`,then prove that `log((x+y)/13)=1/2(logx+logy)`

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    KALYANI PUBLICATION|Exercise EXERCISE|122 Videos
  • INEQUALITIES AND INEQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|126 Videos
  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos

Similar Questions

Explore conceptually related problems

If x^2+y^2=7xy ,then prove that log(x+y)=log3+1/2(logx+logy)

If xy^2=1 , then prove that 2(dy)/(dx)+y^3=0

Prove that log_(a^2) x=(1/2)log_a x

Prove that log_a x.log_b y=log_b x.log_a y

Prove that (log_ab x)/(log_a x)=1+log_x b

If log((x+y)/2)=1/2(logx+logy) ,then prove that x=y

If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then prove that x/a=y/b .

If x-2y = 4 then prove that x^3-8y^3-24xy-64=0

If log((x+y)/3)=1/2(logx+logy) ,then prove that x/y+y/x=7

If 3x + 2y = -1 , then prove that 27x^3+8y^3+1-18xy = 0

KALYANI PUBLICATION-LOGARITHMS-EXERCISE
  1. If a^2+b^2=23ab,then prove that log((a+b)/5)=1/2(log a+log b)

    Text Solution

    |

  2. If x^2+y^2=7xy,then prove that log(x+y)=log3+1/2(logx+logy)

    Text Solution

    |

  3. If x^2+y^2=11xy,then prove that log((x+y)/13)=1/2(logx+logy)

    Text Solution

    |

  4. If a^2+b^2=18ab,then prove that log((a-b)/4)=1/2(loga+logb)

    Text Solution

    |

  5. If 4a^4+9b^4=37a^2b^2,then prove that log(2a^2+3b^2)=loga+logb+log7

    Text Solution

    |

  6. If 2log(a+b)=loga+logb+log8,then prove that (a+b)^2=8ab

    Text Solution

    |

  7. If log((x+y)/3)=1/2(logx+logy),then prove that x/y+y/x=7

    Text Solution

    |

  8. If log((a+2b)/4)=1/2(loga+logb),then prove that a^2+4b^2=12ab

    Text Solution

    |

  9. If log((x+y)/2)=1/2(logx+logy),then prove that x=y

    Text Solution

    |

  10. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  11. Given that log10 2=.3010,log10 3=.4771,find the value of log10 12

    Text Solution

    |

  12. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  13. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  14. Given that log10 2=.3010,log10 3=.4771,then find the value of log10 (...

    Text Solution

    |

  15. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  16. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 7=.8450,log...

    Text Solution

    |

  17. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 7=.8450,log...

    Text Solution

    |

  18. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  19. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 5-.6990,log...

    Text Solution

    |

  20. Given that log10 2=.3010,log10 3=.4771,log10 4=.6021,log10 7=.8450,log...

    Text Solution

    |