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)_y2a n dx!=y ,t h ex+y=` 2 (b) 65/8 (c) 37/6 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 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)_y x+(log)_x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) 15 (d) 30

If log_2 (log_2 (log_3 x)) = log_2 (log_3 (log_2 y))=0 , then the value of (x+y) is

int_2^4 log[x]dx is (A) log2 (B) log3 (C) log5 (D) none of these

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

If x=(log)_k b=(log)_b c=1/2(log)_c d ,t h e n(log)_k d is equal to 6x b. (x^3)/2 c. 2x^3 d. 2x^8

If x y-(log)_e y=1 satisfies the equation x(y y_2+y1 2)-y_2+lambday y_1=0,t h e nlambda= -3 (b) 1 (c) 3 (d) none of these

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_(10)x+log_(10)y=2, x-y=15 then :

If x ,\ y >0,(log)_y x+(log)_x y=(10)/3\ a n d\ x y=144 ,\ t h e n(x+y)/2=sqrt("N")"\ w h e r e\ N" is a natural number, find the value of Ndot

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

    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)y2a n dx!=y ,t h ex+y= 2 (b) 6...

    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 9 (b) 12 (c) ...

    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. Prove that: 2^((sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-sqrt((log)a4sq...

    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=0 and are not equal to 1 and logx+logy+logz=0. Find t...

    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

    |