Home
Class 12
MATHS
Let a , b , c , d be positive integers s...

Let `a , b , c , d` be positive integers such that `(log)_a b=3/2a n d(log)_c d=5/4dot` If `(a-c)=9,` then find the value of `(b-d)dot`

A

`20`

B

`93`

C

`10`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

Let a, b, c, d be distinct integers such that the equation (x - a) (x -b) (x -c)(x-d) - 9 = 0 has an integer root 'r', then the value of a +b+c+d - 4r is equal to :

If (log)_2(a+b)+(log)_2(c+d)geq4. Then find the minimum value of the expression a+b+c+ddot

If a , b , c are consecutive positive integers and (log(1+a c)=2K , then the value of K is (a) logb (b) loga (c) 2 (d) 1

If log_e((a+b)/2)=1/2(log_e a+log_e b), then find the relation between a a n d b dot

If (log)_2(a+b)+(log)_2(c+d)geq4. Then find the minimum value of the expression a+b+c+d

If a ,b ,c ,d are four distinct positive numbers in G.P. then show that a+d > b+c dot

Let a and b are the roots of the equation x^2-10 xc -11d =0 and those of x^2-10 a x-11 b=0 ,dot are c and d then find the value of a+b+c+d

In Figure, A B C D is a rectangle. Find the values of x a n d y dot

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c dot

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. IF log(b)alog(c)a+log(a)blog(c)b+log(a)clog(b)c=3 (where a,b,c are dif...

    Text Solution

    |

  2. Let alpha,beta, are two real solution of equation (log(10)x)^2 + log(1...

    Text Solution

    |

  3. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  4. The range of real values of 'p' for which the equation 2log3^2 x-|log...

    Text Solution

    |

  5. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  6. The least positive integer x, which satisfies the inequality log(log(x...

    Text Solution

    |

  7. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

    Text Solution

    |

  8. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

    Text Solution

    |

  9. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

    Text Solution

    |

  10. If f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2)...

    Text Solution

    |

  11. The number of solution of the equation sgn({x})=|1-x| is/are (where {*...

    Text Solution

    |

  12. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

    Text Solution

    |

  13. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

    Text Solution

    |

  14. (m+2)sin theta+(2m-1)cos theta=2m+1, if

    Text Solution

    |

  15. If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...

    Text Solution

    |

  16. Prove that (1+tan1^0)(1+tan2^0)(1+tan45^0)=2^(23)dot

    Text Solution

    |

  17. Find the number of solutions to 2cosx=|sinx|,0lexle4pi.

    Text Solution

    |

  18. if the equation sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0 is solved for ...

    Text Solution

    |

  19. In (0,6pi), the number of solutions of the equation tantheta+tan2theta...

    Text Solution

    |

  20. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

    Text Solution

    |