Home
Class 11
MATHS
If (log)2x+(log)x2=(10)/3=(log)2y+(log)y...

If `(log)_2x+(log)_x2=(10)/3=(log)_2y+(log)_y2 and x!=y ,the x+y=` 2 (b) 65/8 (c) 37/6 (d) none of these

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

If log_2x+log_x2=10/3=log_2y+log_y2 and x!=y ,then x+y=

If log_(3)x + log_(3)y =2 + log_(3)2 and log_(3)(x+y) =2 , then

If x y^2=4a n d(log)_3((log)_2x)+(log)_(1/3)((log)_(1/2)y)=1,t h e nxe q u a l s 4 (b) 8 (c) 16 (d) 64

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3- (log)_3 2 (c) log(3/2) (d) none of these

if (log)_y x+(log)_x y=2,x^2+y=12 , the value of x y is

If (log)_2x+(log)_2ygeq6, then the least value of x+y is 4 (b) 8 (d) 16 (d) 32

If x=(log)_(2a)a , y=(log)_(3a)2a ,z=(log)_(4a)3a ,p rov et h a t1+x y z=2y zdot

The value of int_1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dx is (a) pi/8(log)_e2 (b) pi/2(log)_e2 (c) -pi/2(log)_e2 (d) none of these

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. The value of 3^((log)4 5)-5^((log)4 3) is

    Text Solution

    |

  2. If a^4b^5=1 then the value of loga(a^5b^4) equals

    Text Solution

    |

  3. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2 and x!=y ,the x+y= 2 (b) 65...

    Text Solution

    |

  4. If (x+1)^((log)(10)(x+1))=100(x+1), then all the roots are positive re...

    Text Solution

    |

  5. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is

    Text Solution

    |

  6. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals odd integer (b)...

    Text Solution

    |

  7. Find the value of 81^((1//log5 3))+(27^(log9 36)) + 3^((4/(log7 9))

    Text Solution

    |

  8. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

    Text Solution

    |

  9. If (log)a3=2a n dlog b 8=3, then prove that (log)a b=(log)3 4.

    Text Solution

    |

  10. Prove that (2^((log)2 1/4x)-3^((log)(27)(x^2+1)^3)-2x) /(7^(4(log)(49...

    Text Solution

    |

  11. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

    Text Solution

    |

  12. Which of the following pairs of expression are defined for the same se...

    Text Solution

    |

  13. Solve (log)2(3x-2)=(log)(1/2)x

    Text Solution

    |

  14. Solve log(-x)=2log(x+1)dot

    Text Solution

    |

  15. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

    Text Solution

    |

  16. Solve 2^(x+2)27^(x//(x-1))=9

    Text Solution

    |

  17. Suppose x , y ,z are not equal to 1 and logx+logy+logz=0. Find the val...

    Text Solution

    |

  18. If (log)(12)27=a , then find (log)6 16int e r m sofa

    Text Solution

    |

  19. If y^2=x z and a^x=b^y=c^z , then prove that (log)ab=(log)bc

    Text Solution

    |

  20. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

    Text Solution

    |