지수식의 로그 값

$\displaystyle {( {4} ^{\frac{3}{4}} \cdot \sqrt{{2} ^{5}} )} ^{\frac{1}{2}}$$\displaystyle = {( {2} ^{\frac{3}{2}} \cdot {2} ^{\frac{5}{2}} )} ^{\frac{1}{2}}$$\displaystyle = {( {2} ^{\frac{3}{2} + \frac{5}{2}} )} ^{\frac{1}{2}}$$\displaystyle = {( {2} ^{4} )} ^{\frac{1}{2}} = {2} ^{2}$ $\displaystyle \therefore \log _{2} ( 4 ^{\frac{3}{4}} \cdot \sqrt{2 ^{5}} ) ^{\frac{1}{2}} = \log _{2} 2 ^{2} = 2$