Home
Class 12
MATHS
The value of a^x-b^y is (wherex=sqrt(log...

The value of `a^x-b^y` is (where`x=sqrt(log_ab)`and `y=sqrt(log_ba),agt0,bgt0` and `a,bne1`)

A

1

B

2

C

0

D

-1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|9 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 3|5 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

The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle0

If S={x:sqrt(log_xsqrt(3x)) , where log_3xgt-1} , then

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

Find the value of x satisfying log_a{1+log_b{1+log_c(1+log_px)}}=0 .

Given a^2+b^2=c^2 . Prove that log_(b+c)a+log_(c-b)a=2 log_(c+b)a.log_(c-b)a,forallagt0,ane1 c-bgt0 , c+bgt0 c-bne1 , c+bne1 .

The value of x, for which the ninth term in the expansion of {sqrt(10)/((sqrt(x))^(5log _(10)x ))+ x.x^(1/(2log_(10)x))}^(10) is 450 is equal to

Find the value of x satisfying the equation, sqrt((log_3(3x)^(1/3)+log_x(3x)^(1/3))log_3(x^3))+sqrt((log_3(x/3)^(1/3)+log_x(3/x)^(1/3))log_3(x^3))=2

sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to (a) (0,""sqrt(3)) (b) (-""sqrt(3),0) (c) (-oo,-""sqrt(3)) (d) (""sqrt(3),oo)

If y = log ( x +sqrt(a^2+x^2)) , find dy/dx .

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Single Option Correct Type Questions)
  1. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

    Text Solution

    |

  2. There exists a positive number k such that log2x+ log4x+ log8x= logkx...

    Text Solution

    |

  3. If x1,x2 & x3 are the three real solutions of the equation x^(log10^2...

    Text Solution

    |

  4. If f(n)=prod(i=2)^(n-1)logi(i+1), the value of sum(k=1)^100f(2^k) equa...

    Text Solution

    |

  5. If x-1/x=m then the value of x^3-1/x^3 is :

    Text Solution

    |

  6. In Which quadrant Point (-2,3) will be lie.

    Text Solution

    |

  7. Solve for x if x(x-4)= -4

    Text Solution

    |

  8. If xn > x(n-1) > ..........> x3 > x1 > 1. then the value of log(x1) [...

    Text Solution

    |

  9. If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove th...

    Text Solution

    |

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

    Text Solution

    |

  11. If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), then x lies in the interval (...

    Text Solution

    |

  12. The value of a^x-b^y is (wherex=sqrt(logab)and y=sqrt(logba),agt0,bgt0...

    Text Solution

    |

  13. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  14. The value of a^((logb(logbN))/(logb a)), is

    Text Solution

    |

  15. Find the value of 49^((1-log7(2)))+5^(-log5(4) is

    Text Solution

    |

  16. The number of real values of the parameter k for which (log(16)x)^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  18. The point on the graph y=log2log6{2^sqrt(2x+1)+4} whose y coordinate i...

    Text Solution

    |

  19. Find dy/dx ,if 2x^2-xy+4y^2 = 200

    Text Solution

    |

  20. The values of x, satisfying the equation for AA a > 0, 2log(x) a + lo...

    Text Solution

    |