JEE Advanced2013MathematicsBasics of MathematicsActual
If 3 x = 4 x - 1 , then x =
Options
- A2 log 3 2 2 log 3 2 - 1
- B2 2 - log 2 3
- C1 1 - log 4 3
- D2 log 2 3 2 log 2 3 - 1
Correct answer
A. 2 log 3 2 2 log 3 2 - 1
Step-by-step solution
3 x = 4 x - 1 x = (x - 1) log 3 4 x ( 1 - 2 log 3 2) = -2log 3 2 x = 2 log 3 2 2 log 3 2 - 1 x log 2 3 = (x - 1).2 x (log 2 3 - 2) = -2 x = 2 2 - log 2 3 x = 1 1 - 1 2 log 2 3 = 1 1 - log 4 3