Home
Class 12
MATHS
If a>0,a ne1, then log(a)(x^n) =...

If a>0,`a ne1`, then `log_(a)(x^n) = `

A

`n log_a x`

B

`n + log_a x`

C

`1/n log_a x`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

If the vectors xhati+hatj+hatk,hati+yhatj+hatk and hati+hatj+zhatk are coplanar where, x ne1,y ne1 and z ne1 , then prove that (1)/(1-x)+(1)/(1-y)+(1)/(1-z)=1

The values of x, satisfying the equation for AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0 are

if f(x) = (x-1)/(x+1), x ne -1 , then show that : f(f(x)) = -1/x, x ne 0 .

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is a. 0 b. -log2 c. 1 d. e

If barx is the mean of x1,x2,x3, ………..xn , then for a ne 0, the mean of ax_1,ax_2,…..,ax_n,(x_2)/a, (x_2)/a ,……., (x_n)/a is :

If a ne 0 and a ne 1, show that |{:(x+1,x,x),(x,x+a,x),(x,x,x+a^(2)):}|=a^(3)[1+x((a^(3)-1))/(a^(2)(a-1))].

If x*a=0, x*b=1, [x a b]=1 and a*b ne 0 , then find x in terms of a and b.

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

If |a|<|b|,b-a<1 and a,b are the real roots of the equation x^2-|alpha|x-|beta|=0, then the equation log_(|b|)|x/a|-1=0 has

Show that the following function is continuous at x = 0: f(x) = x sin1.x, when x ne 0 f(0) = 0.

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Match the following:

    Text Solution

    |

  2. limxrarr0 (e^x - 1)/x is equal to :

    Text Solution

    |

  3. If a>0,a ne1, then log(a)(x^n) =

    Text Solution

    |

  4. Which of the following is not true

    Text Solution

    |

  5. underset(xrarr0)lim (e^x -1)/(x) is equal to

    Text Solution

    |

  6. limxrarr0 (log (1+x)/sin x is equal to :

    Text Solution

    |

  7. underset(xrarre)(Lt)((logx-1)/(x-e)) is equal to

    Text Solution

    |

  8. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

    Text Solution

    |

  9. If (x)=2x and g(x)=(x^(2))/(2)+1, then which of the following can be a...

    Text Solution

    |

  10. Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...

    Text Solution

    |

  11. Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous ...

    Text Solution

    |

  12. Let f(x) = x((2^(x) -1)/(1-cosx)) for x ne0. What choice of f(0), if a...

    Text Solution

    |

  13. If f(x)=x^(2)"sin"(1)/(x), where xne0 then the value of the function f...

    Text Solution

    |

  14. The value of 'k' which makes the function defined by : f(x) = {:{(sin(...

    Text Solution

    |

  15. The function given by f(x)=tax x is discontinuous on the set

    Text Solution

    |

  16. The function f(x)=cotx is discontinuous on the set

    Text Solution

    |

  17. The function f(x) = [x], where [x] denotes the greatest integer functi...

    Text Solution

    |

  18. The number of points at which the function f(x)=(1)/(x-[x]) is not con...

    Text Solution

    |

  19. The function f(x)=(4-x^(2))/(4x-x^(3)) is

    Text Solution

    |

  20. Let f (x) = x |x|, then f (0) is equal to

    Text Solution

    |