Home
Class 7
MATHS
If ((a)/(b))^(x - 1) = ((b)/(a))^(x - 3)...

If `((a)/(b))^(x - 1) = ((b)/(a))^(x - 3)` , find the value x .

Text Solution

Verified by Experts

The correct Answer is:
`x=2`
Promotional Banner

Topper's Solved these Questions

  • POWERS AND ROOTS

    S CHAND IIT JEE FOUNDATION|Exercise SECTION-B SQUARE ROOTS AND CUBE ROOTS (SOLVED EXAMPLES)|10 Videos

  • POWERS AND ROOTS

    S CHAND IIT JEE FOUNDATION|Exercise SECTION-A (QUESTION BANK-5(A))|30 Videos

  • POLYGONS AND QUADRILATERALS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet|10 Videos

  • PROFIT AND LOSS AND DISCOUNT

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET |10 Videos

Similar Questions

Explore conceptually related problems

If (a/b)^(x-1) = (b/a)^(2x-8) , then find the value of x.

If (x+5)/((x-1)^(2))=(A)/((x-1))+(B)/((x-1)^(2)) , then find the values of A and B .

If the range of the function f(x)= cot^(-1)((x^(2))/(x^(2)+1)) is (a, b), find the value of ((b)/(a)+2) .

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

The LCM of the polynomials (x^(2) + x - 2) (x^(2) + x -a) and (x^(2) + x -b) (x^(2) + 5x + a) " is " (x -1) (x +2) (x +3) , then find the values of a and b

If lim_(xto0) ((4x-1)^(1/3)+a+bx)/(x)=1/3 then find the values of a and b.

int(x-1)/((x-3)(x-2))dx=A ln(x-3)+B ln(x-2)+c , then find the value of A+B

S CHAND IIT JEE FOUNDATION-POWERS AND ROOTS -UNIT TEST-1
  1. If ((a)/(b))^(x - 1) = ((b)/(a))^(x - 3) , find the value x .

    Text Solution

    |

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

    Text Solution

    |

  3. Which one of the following is correct? The number 222222 is :

    Text Solution

    |

  4. In a division operation, the divisor is 5 times the quotient and twice...

    Text Solution

    |

  5. LCM of two numbers is 16 times their HCF. The sum of LCM and HCF is 85...

    Text Solution

    |

  6. Find the value of sqrt((0. 289)/(0. 00121)) .

    Text Solution

    |

  7. Consider the following statements : A number a(1)a(2)a(3)a(4)a(5) is...

    Text Solution

    |

  8. A bell rings every 5 seconds. A second bell rings every 6 seconds and ...

    Text Solution

    |

  9. if 4^x-4^(x-1)=24 then the value of (2x)^x equals:

    Text Solution

    |

  10. The first twenty natural numbers from 1 to 20 are written next to each...

    Text Solution

    |

  11. x, y and z are the natural numbers. Which of the following statements ...

    Text Solution

    |

  12. The number of prime factors in ((1)/(6))^(12)xx(8)^(25)xx((3)/(4))^(...

    Text Solution

    |

  13. The value of 2/3xx3/(5/6-:2/3\ of\ 1 1/4) is 1/2 (b) 2/3 (c) 1 (d) ...

    Text Solution

    |

  14. If ((1)/(5))^(3y)=0.008, then the value of (0.25)^(y//2) will be

    Text Solution

    |

  15. Simplify : [root(3)root(6)(5^(9))]^(4)[root(3)root(6)(5^(9)]]^(4)

    Text Solution

    |

  16. The value of 0.1bar7 is

    Text Solution

    |

  17. The least values of x and y so that 7x342y is divisible y 88 are

    Text Solution

    |

  18. The total number of 8 digit numbers is

    Text Solution

    |

  19. If X, Y are positive real numbers such that XgtY and A is any positive...

    Text Solution

    |

  20. Assertion (A) : The number 90356294 is divisible by 4. Reason (R ) :...

    Text Solution

    |

  21. Given two different prime numbers P and Q, find the number of divisors...

    Text Solution

    |