Home
Class 14
MATHS
If x=y^a ,\ y=z^b and z=x^c then find th...

If `x=y^a ,\ y=z^b and z=x^c` then find the value of `a b c`.

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 x=y^(a),y=z^(b)andz=x^(c) , then the value of abc is

If a^(x)=b,b^(y)=c and c^(z)=a then find the value of xyz

If x= b+c, y=c+a, z=a+b , then find the value of (x^2 + y^2 + z^2 -yz - zx-xy)/( a^(2) + b^(2) + c^(2) - bc - ca - ab)

If a^(x)=b,b^(y)=c,c^(z)=a, then find the value of xyz.

If a=x-y,b=y-z and c=z-x then the value of a^(3)+b^(3)+c^(3)

If a+b=z, c+a=y, b+c=x, x^(2)+y^(2)+z^(2)=50 and xy+yz+zx=47 then find the value of a^(2)+b^(2)+c^(2)+ab+bc+ca .

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If x = y^(a), y = z^(b) and z = x^(c), compute abc.

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Find the value of (6^(2/3) xx(6^7)^(1/3))/((6^6)^(1/3))

    Text Solution

    |

  2. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of x.

    Text Solution

    |

  3. If x=y^a ,\ y=z^b and z=x^c then find the value of a b c.

    Text Solution

    |

  4. Simplify : ((x^a)/(x^b))^(a^2+b^2+ab)xx((x^b)/(x^c))^(b^2+c^2+bc)xx((x...

    Text Solution

    |

  5. If 8^x * 2^y=512\ and\ 3^(3x+2y)=9^6, then find the value of x and y ?

    Text Solution

    |

  6. Find the largest from among root(4)6,\ sqrt(2)\ and\ root(3)4.

    Text Solution

    |

  7. Find the square root of (3+sqrt(5)) .

    Text Solution

    |

  8. If x=3+2sqrt(2) then find sqrt(x)-1/sqrt(x)

    Text Solution

    |

  9. If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

    Text Solution

    |

  10. Given t=2+root(3)4+root(3)2, determine the value of t^3-6t^2+6t-2.

    Text Solution

    |

  11. root(3)5 is a surd of the order a. 1/3 b. 1 c. 2 d. 3

    Text Solution

    |

  12. 5^0xx8=? 0 b. 8 c. 40 d. 200

    Text Solution

    |

  13. Which of the following are equal in value? I. 4^1 II. 1^4 III. 4^0 IV....

    Text Solution

    |

  14. If 289=17^(1/5x),\ then\ x=? a. 2/5 b. 8 c. 16 d. 32

    Text Solution

    |

  15. (81)^4-:(9)^5=? 9 b. 81 c. 729 d. 6561

    Text Solution

    |

  16. The value of ((9^2xx18^4)/(3^(16))) is a. 3/2 b. 4/9 c. (16)/(81) d. ...

    Text Solution

    |

  17. [4^3xx5^4]-:4^5=? 29. 0825 b. 30. 0925 c. 35. 6015 d. 39. 0625

    Text Solution

    |

  18. 9^3 xx 6^2 -: 3^3=? a. 948 b. 972 c. 984 d. 1012

    Text Solution

    |

  19. (19)^(12)xx(19)^8-:(19)^4=(19)^? 6 b. 8 c. 12 d. 24

    Text Solution

    |

  20. (64)^4-:(8)^5=? (8)^8 b. (8)^2 c. (8)^(12) d. (8)^4

    Text Solution

    |