JEE Main201815 Apr 2018Evening ShiftMathematicsTrigonometric EquationsActual
The number of solutions of 3 x= 2 x , in the interval ( 2 , ) is
Options
- A3
- B4
- C2
- D1
Correct answer
D. 1
Step-by-step solution
3 x= 2 x aligned & 3 x-4 ^3 x=1-2 ^2 x & 4 ^3 x-2 ^2 x-3 x+1=0 & x=1, -2 2 5 8 aligned In the interval ( 2 , ), x= -2+2 5 8 So, there is only one solution.