로그 조건 m⁴

$\displaystyle \frac{1}{2} < 1 - \alpha < 1$, $\displaystyle \frac{1}{2} < \log _{4} n < 1$, $2 < n < 4$ $\therefore$$n = 3$ 그러면, $\log _{4} 3 = 1 - \alpha$, $\alpha = 1 - \log _{4} 3$ $\therefore$$\displaystyle \alpha = \log _{4} \frac{4}{3}$ 따라서, $\log _{2} m ^{2}$$\displaystyle = 3 + \log _{4} \frac{4}{3}$, $\displaystyle \log _{4} m ^{4} = \log _{4} \frac{4 ^{4}}{3}$, $\displaystyle m ^{4} = \frac{4 ^{4}}{3}$ $\therefore$$3 m ^{4}$$= 4 ^{4} = 256$