JEE Main202131 Aug 2021Evening ShiftMathematicsBasics of MathematicsActual
The sum of the roots of the equation, x + 1 - 2 log 2 3 + 2 x + 2 log 4 10 - 2 - x = 0 , is :
Options
- Alog 2 14
- Blog 2 12
- Clog 2 13
- Dlog 2 11
Correct answer
D. log 2 11
Step-by-step solution
Given, x + 1 - 2 log 2 3 + 2 x + 2 log 4 10 - 2 - x = 0 ⇒ x + 1 - 2 log 2 3 + 2 x + 2 log 2 2 10 . 2 x - 1 2 x = 0 ⇒ x + 1 - 2 log 2 3 + 2 x + log 2 10 . 2 x - 1 2 x = 0 ⇒ x + 1 - 2 log 2 3 + 2 x + log 2 10 . 2 x - 1 - log 2 2 x = 0 ⇒ x + 1 - log 2 3 + 2 x 2 + log 2 10 . 2 x - 1 - x log 2 2 = 0 ⇒ x + 1 - log 2 3 + 2 x 2 + log 2 10 . 2 x - 1 - x = 0 ⇒ x + 1 + log 2 10 . 2 x - 1 3 + 2 x 2 - x = 0 ⇒ 1 + log 2 10 . 2 x - 1 3 + 2 x 2 = 0 ⇒ log 2 10 . 2 x - 1 3 + 2 x 2 = -