Home
Class 10
MATHS
If x^2+y^2=25xy. then prove that 2log(x+...

If `x^2+y^2=25xy.` then prove that `2log(x+y)=3log3+logx+logy.`

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 1.5(THINK & DISCUSS)|4 Videos

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 1.5(DO THIS)|15 Videos

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 1.4(DO THIS)|1 Videos

  • QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)|20 Videos

  • REAL NUMBERS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise REAL NUMBERS (MULTIPLE CHOICE QUESTION)|22 Videos

Similar Questions

Explore conceptually related problems

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

If x^2 + y^2 = 6xy , prove that 2 log (x + y) = logx + logy + 3 log 2

If x^2 + y^2 = 10xy , prove that 2 log (x + y) = log x + log y + 2 log 2 + log 3 .

If x^(2) + y^(2)=6xy , prove that 2 log (x+ y)= log x + log y + 3 log 2

If x^2+y^2=6xy, prove that 2log(x+y)=logx+logy+3log2

If x^2+y^2=7xy then show that 2log(x+y)=logx+logy+2log3.

Prove that log_(a)xy=log_(a)x+log_(a)y.

If x^2+y^2=27xy , then show that log((x-y)/(5))=1/2[logx+logy] .

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

If x ^( log y) = log x, then prove that (dy)/(dx) = (y)/(x) ((1- log x log y)/( (log x) ^(2)))

VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE 1.5
  1. Write the following expression as log N and find their values. (i) log...

    Text Solution

    |

  2. Write the following expression as log N and find their values. (ii) lo...

    Text Solution

    |

  3. Write the following expression as log N and find their values. (iii) 3...

    Text Solution

    |

  4. Write the following expression as log N and find their values. (iv) 2l...

    Text Solution

    |

  5. Write the following expression as log N and find their values. (v) log...

    Text Solution

    |

  6. Evaluate each of the following in terms of x and y, if it is given x=...

    Text Solution

    |

  7. Evaluate each of the following in terms of x and y, if it is given x=...

    Text Solution

    |

  8. Evaluate each of the following in terms of x and y, if it is given x=...

    Text Solution

    |

  9. Evaluate each of the following in terms of x and y, if it is given x=...

    Text Solution

    |

  10. Expand the following. (i) log 1000

    Text Solution

    |

  11. Expand the following. (ii) log[128/625]

    Text Solution

    |

  12. Expand the following. (iii) log x^2y^3z^4

    Text Solution

    |

  13. Expand the following. (iv) log""(p^2q^3)/( r )

    Text Solution

    |

  14. Expand the following. (v) log sqrt((x^3)/(y^2))

    Text Solution

    |

  15. If x^2+y^2=25xy. then prove that 2log(x+y)=3log3+logx+logy.

    Text Solution

    |

  16. If log((x+y)/(3))=1/2(logx+logy), then find the values of (x)/(y)+(y)/...

    Text Solution

    |

  17. If (2.3)^x=(0.23)^y=1000 then find the value of (1)/(x)-(1)/(y).

    Text Solution

    |

  18. If 2^(x+1)=3^(1-x) then find the value of x.

    Text Solution

    |

  19. Is (i) log 2 is rational or irrational ? Justify your answer.

    Text Solution

    |

  20. Is (ii) log 100 is rational or irrational ? Justify your answer.

    Text Solution

    |