Home
Class 14
MATHS
If 3^(x-y)=27, and 3^(x+y) = 243, then x...

If `3^(x-y)=27,` and `3^(x+y) = 243`, then `x` is equal to a. `0` b. `2` c. `4` d. `6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos
  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

If 3^(x-y) =27 and 3^(x+y) = 243 , then what is the value of x?

If x = 27 " and " y = "log"_(3) 4, "then" x^(y) equals

If 2x+3y=0 and 4x-3y=0 then (x+y) equals

If log x-5log3=-2 then x equals a.0.8 b.0.81 c.1.25 d.2.43

If ( x - 1 )^3 + ( y - 2 )^3 + ( z - 3 )^3 = 3 ( x - 1 ) ( y - 2 ) ( z - 3 ) and x - 1 != y -2 != z-3 , then x + y + z is equal to : ( A ) 2 ( B ) -6 ( C ) 6 ( D ) 4

If [(2x+y,0),(5,x)] = [(5,0),(5,3)] then y is equal to (a) 1 (b) 3 (c) 2 (d) -1

If 2x+3y+z=0 , then (8x^(3)+27y^(3)+z^(3))-:xyz is equal to

If 8x^3-27y^3=(Ax+By)(Cx^2-Dy^2+ 6xy) , then (A + B + C- D) is equal to:

If 3^(2x-y)=3^(x+y)=sqrt(27), the value of y is a.(1)/(2) b.(3)/(4) c.(1)/(4) d.(3)/(2)

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. If a b c=1, then (1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1)))=? a. 0...

    Text Solution

    |

  2. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  3. If 3^(x-y)=27, and 3^(x+y) = 243, then x is equal to a. 0 b. 2 c. 4 d....

    Text Solution

    |

  4. If x^y=y^x, then (x/y)^(x//y) is equal to a. x^(y//x) b. x^(x/y-1) c. ...

    Text Solution

    |

  5. If 4^(x+y)=1\ and \ 4^(x-y)=4, then the values of x and y respectively...

    Text Solution

    |

  6. If 2^(2x-1)+4^x=2^(x-1/2)+2^(x+1/2), then x equals a. 1/2 b. 2/3 ...

    Text Solution

    |

  7. If 3^(2x-y)=3^(x+y)=sqrt27 , the value of y is a. 1/2 b. 3/4 c. 1/4 d....

    Text Solution

    |

  8. If 3^x=5^y=45^z , then a. 2/z=1/y-1/x b. 2/y=1/x-1/z c. 2/x=1/z-1/y d....

    Text Solution

    |

  9. Given 2^x=8^(y+1)\ and\ 9^y=3^(x-9) , then the value of x+y is a. 18 b...

    Text Solution

    |

  10. What are the values of x\ and\ y that satisfy the equation2^(0.7x)*3^(...

    Text Solution

    |

  11. Let r be the result of doubling both the base and the exponent of a^b ...

    Text Solution

    |

  12. Which of the following is the greatest? a. sqrt(2) b. root(3)3 c. root...

    Text Solution

    |

  13. The greatest of sqrt(2),root(6)3,root(3)4,root(4)5 is a. sqrt(2) b. ro...

    Text Solution

    |

  14. The largest number in the sequence 1,\ 2^(1/2),\ 3^(1/3),\ 4^(1/4),\.....

    Text Solution

    |

  15. If x=5+2sqrt(6), then (x-1)/sqrt(x) is equal to a. sqrt(2) b. sqrt(3) ...

    Text Solution

    |

  16. If x^(1//3)+y^(1//3)=z^(1//3), then {(x+y-z)^3+27 x y z} equals a. 0 b...

    Text Solution

    |

  17. If x = 2 + 2^(1/3) + 2^(2/3) then value of x^3 - 6x^2 + 6x –2 is

    Text Solution

    |

  18. Find the value of (-2)^5xx(2)^(-5)xx(3)^3 a. -108 b. 27 c. -27 d. (2)^...

    Text Solution

    |

  19. The quotient when 10^(100) is divided by 5^(75) is a. 2^25 xx10^(75) b...

    Text Solution

    |

  20. The exponential form of sqrt(sqrt(2)xxsqrt(3)) is a. 6 b. 6^(1//2) c....

    Text Solution

    |