Home
Class 11
MATHS
If y=x^nlogax(a>0,a!=1),then show that l...

If `y=x^nlog_ax(a>0,a!=1),`then show that `log_ea(xy_1-ny)=x^n`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 7

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

  • MODEL QUESTION PAPERS-SET 9

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

Similar Questions

Explore conceptually related problems

If y=px^(n)+qx^(-n) , show that x^(2)y_(2)+xy_(1)-n^(2)y=0 .

If y=x log[x// (a+bx)], show that x^3y_2 - (y-xy_1)^2 = 0

If log_(12)18 = x and log_(24)54 = y , then show that xy + 5(x-y) = 1

If xgt0 , then show that log(1+x)gt(x)/(1+x) .

If y=log(x+sqrt(x^2+a^2)) , show that (a^2+x^2)y_2+xy_1=0

If y = a^(1/(1-log_(a)x)) and z = a^(1/(1-log_(a)y)) , then show that x = a^(1/(1-log_(a)z))

If x gt 0 , show that, log (1+x) lt x

If y=x log((1)/(ax)+(1)/(a)) , prove that, x(x+1)y_(2)+xy_(1)=y-1 .

If y= 3 cos (log x)+4 sin(log x) , show that x^(2)y_(2)+xy_(1)+y=0 .

If y = (Sin ^-1 x)^2 + (cos^-1 x)^2 , then show that (1-x^2) y _2 - xy_1 = 4

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 8-EXERCISE
  1. The co-ordinate of three vertices and centroid of a triangle are (x, ...

    Text Solution

    |

  2. The equation of one arm of a equilateral triangle is x + y = 2 and th...

    Text Solution

    |

  3. If y=x^nlogax(a>0,a!=1),then show that logea(xy1-ny)=x^n

    Text Solution

    |

  4. Evaluate' : lim(xrarroo)(1-sqrtx)/(1+sqrtx)

    Text Solution

    |

  5. If A and B are two events., such that P(A) = P(B)-= 1, then Prove that...

    Text Solution

    |

  6. Find that mean deviation from Arithmetic mean of the' natural numbers ...

    Text Solution

    |

  7. A market research group conducted a survey of 500 consumers and report...

    Text Solution

    |

  8. If alphaand betaare positive acute angles and cos2alpha=(3cos2beta-1)/...

    Text Solution

    |

  9. In any triangle ABC If sinA : sinB: sinC=4:5:6,then prove that cos A ...

    Text Solution

    |

  10. Prove by. mathematical induction :1.2+2.2^2+3.2^3+...+n.2^n=(n-1)2^(n+...

    Text Solution

    |

  11. If S1, S2 and S3 be respectively the sum of n, 2n and 3n terms of a G....

    Text Solution

    |

  12. Two parallel straight lines contains 5 points and 10 points respective...

    Text Solution

    |

  13. If the coefficients of 2nd,3rd and 4th terms in the (1+x)^(2n)are in A...

    Text Solution

    |

  14. Vertices of /\XYZ are X(-2, -3),Y (6, 1), and Z(1, 6). Find the co-ord...

    Text Solution

    |

  15. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

    Text Solution

    |

  16. A circle passes through(1,-2) and (4,-3) and its.centre lies on the st...

    Text Solution

    |

  17. A point divides the line segment joining the point (2, -5. 8) and(3, 4...

    Text Solution

    |

  18. Show thatlim(xrarr0)(x^2sin(1/x))/(sinx)=0

    Text Solution

    |

  19. Differentiatesqrttanx,with respect to x.(With the help of 1st principl...

    Text Solution

    |

  20. Using contrapositive method show that the compound statement is are tr...

    Text Solution

    |