Home
Class 12
MATHS
If 3^(x) = 4^(x-1) , then x = a. (2 ...

If ` 3^(x) = 4^(x-1)` , then x = a. ` (2 log_(3) 2)/(2log_(3) 2-1)` b. ` 2/(2-log_(2)3)` c. ` 1/(1-log_(4)3)` d. ` (2 log_(2)3)/(2 log_(2) 3-1)`

A

`(2log_(3)2)/(2log_(3)2-1)`

B

`(2)/(2-log_(2)3)`

C

`(1)/(1-log_(4)3)`

D

`(2log_(2)3)/(2log_(2)3-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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 3^x=4^(x-1) , then x= (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)

Solve log_(4)(x-1)= log_(2) (x-3) .

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve (log)_2(3x-2)=(log)_(1/2)x

Find x if 9^(1//log_(2)3) le log_(2) x le log_(8) 27

Solve log_(3)(x+2)(x+4)+log_(1//3)(x+2) lt 1/2 log_(sqrt3)7 .

Solve log_(2)((4)/(x+3))>log_(2)(2-x)

The value of 1-log_(e)2+(log_(e)2)^(2)/(2!)-(log_(e)2)^(3)/(3!)+.. is

RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Let varphi,phi in [0,2pi] be such that 2costheta(1-sinphi)=sin^2theta(...

    Text Solution

    |

  2. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

    Text Solution

    |

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

    Text Solution

    |

  4. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

    Text Solution

    |

  5. The number of distinct solution of the equation 5/4 cos^(2) 2x + cos^(...

    Text Solution

    |

  6. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  7. Let S={x in (-pi, pi) : x ne 0, pm pi/2}. The sum of all distinct solu...

    Text Solution

    |

  8. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  9. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  10. The value of ((log(2)9)^(2))^(1/(log(2)(log(2)9)))xx(sqrt7)^(1/(log(4...

    Text Solution

    |

  11. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  12. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

  13. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  14. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  15. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  16. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  17. Let A and B be two sets containing 2 elements and 4 elements, respecti...

    Text Solution

    |

  18. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |

  19. If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals

    Text Solution

    |

  20. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

    Text Solution

    |