Home
Class 8
MATHS
If (sqrt(3))^(x+y)=9 and (sqrt(2))^(x-y)...

If `(sqrt(3))^(x+y)=9` and `(sqrt(2))^(x-y)=32`, then `2x+y` is _______.

A

1

B

0

C

17

D

11

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|33 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 1)|60 Videos
  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL - 3)|9 Videos

Similar Questions

Explore conceptually related problems

sqrt(x)+y=9 and sqrt(y)+x=27

If x=(2)/(sqrt(3)-sqrt(5)) and y=(2)/(sqrt(3)+sqrt(5)) , then x+y = _______ .

If sqrt(x+1)+sqrt(y)+sqrt(z-4)=(x+y+z)/(2), then find x+y+z

If x=(sqrt3-1)/(sqrt3+1) and y=(sqrt3+1)/(sqrt3-1) then x^2-xy+y^2

If x=(sqrt(3)+1)/(sqrt(3)-1) and y=(sqrt(3)-1)/(sqrt(3)+1) then find the value of x^(2)+y^(2)

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If x=2sqrt(5)+sqrt(3) and y=2sqrt(5)-sqrt(3) , then x^(4)+y^(4) =

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If a=1+sqrt(2)+sqrt(3) and b=1+sqrt(2)-sqrt(3) , then a^(2)+b^(2)-2a-2b=

PEARSON IIT JEE FOUNDATION-INDICES-CONCEPT APPLICATION (Level 2)
  1. Find the value of [[a/b]^(sqrt(99)-sqrt(97))]^(sqrt(99)+sqrt(97))

    Text Solution

    |

  2. If 1/((243)^(x))=(729)^(y)=3^(3), then find the value of 5x+6y.

    Text Solution

    |

  3. ((1/x+y)^((a+b))(1/y-x)^(-(p+q)))/((1/x-y)^(-(p+q))(x+1/y)^((a+b)))=

    Text Solution

    |

  4. If 7^((5x-8))xx5^((x+2))=30625, then find x, an integer.

    Text Solution

    |

  5. If a^(x) =b^(y)=c^(z) and a^(3)=b^(2)c, then (3)/(x)- (2y)/(y)=

    Text Solution

    |

  6. Simplified form of ((p+1/q)^((p-q))(p-1/q)^((p+q)))/((q+1/p)^((p-q))(...

    Text Solution

    |

  7. If X = a^1 b^2 c^3 ... z^26 and Y = z^1 y^2 x^3... a^26 where, abcd...

    Text Solution

    |

  8. If a^(b)=256, then find the maximum possible value of abc, where a, b,...

    Text Solution

    |

  9. If 11^x = 3^y = 99^z, then 1/x + 1/y + 1/z

    Text Solution

    |

  10. If a^(b^t) = 6561, then find the least possible value of (a.b.c), wh...

    Text Solution

    |

  11. If (xy)^((a - 1)) = z, (yz)^((b - 1)) = x and (xz)^((c-1)) = y, and ...

    Text Solution

    |

  12. If x^(200) lt 3^(300), then the greatest possible integral value of x.

    Text Solution

    |

  13. If 5^(n-3)=625, then 5^(n+3) is .

    Text Solution

    |

  14. Find the value of (0.00243)^(3/5)+(0.00256)^(3/4).

    Text Solution

    |

  15. [((a^(0)+b^(0))(a^(0)-b^(0)))/(a^(2)-b^(2))]^(0^(+^(5)))" "("where "...

    Text Solution

    |

  16. If (1331)^(-x)=(225)^(y) where x and y are integers, then find the val...

    Text Solution

    |

  17. If (sqrt(3))^(x+y)=9 and (sqrt(2))^(x-y)=32, then 2x+y is .

    Text Solution

    |

  18. If 6^(x-y)=36 and 3^(x+y)=729, then find x^(2)-y^(2).

    Text Solution

    |

  19. If p^(q')=512 find the minimum possible value of (p) (q) (r), where p,...

    Text Solution

    |

  20. If 2^(x+y)=128 and 4^(x-y)=16, then find x/y.

    Text Solution

    |