Question

If 3x = 4x-1, then x = MCQ [IIT-Advanced 2013] 2 log 3 2 2 (B) – 2log 2-1 2 - log23 2 log23 (D) 2log, 3-1 (C) 1-log43

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( 3^{x}=4^{x-1} ) Talking doga both side ( ln sqrt{3} x log _{2} 3^{x}=log _{2} 4^{x-1} ) ( x log _{2} 3=(x-1) log _{2} 4 ) ( x log _{2} 3=(x-1) times 0 quad log _{2} 2^{2} ) ( x log _{2}^{3}=(x-1) times 2 log _{2} 2^{2} ) ( x log _{2} 3=2(x-1) ) ( x log _{2} 3=2 x-2 ) ( 2=xleft[2-log _{2} 3right] ) ( int x=frac{2}{2-log _{2} 3} ) (B) Ophion is rorred