[JEE Advanced 2013] if 3 x 4 x 1 then x
If $3^x=4^{x-1}$, then $x=$
(a) $\dfrac{2\log_32}{2\log_32-1}$
(b) $\dfrac2{2-\log_23}$
(c) $\dfrac1{1-\log_43}$
(d) $\dfrac{2\log_23}{2\log_23-1}$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Correct answer: (d) $\dfrac{2\log_23}{2\log_23-1}$
$x\ln3=2(x-1)\ln2\Rightarrow x=\frac{2\ln2}{2\ln2-\ln3}=\frac{2\log_23}{2\log_23-1}$ (option (d); option (b) is an equivalent form).
JEE Advanced 2013 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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