مقدار عبارت $x = {۱۰^{\left( {\frac{۱}{۲}{{\log }^{۱۵}} - {{\log }^۳}} \right)}}$ کدام است؟
${10^{\left( {\frac{1}{2}\log 15 - \log 3} \right)}} = {10^{\left( {\log {{15}^{\frac{1}{2}}} - \log 3} \right)}}$ $ = {10^{\left( {\log \sqrt {15} - \log 3} \right)}} = {10^{\log \frac{{\sqrt {15} }}{3}}} = \frac{{\sqrt {15} }}{3} = \sqrt {\frac{{15}}{9}} = \sqrt {\frac{5}{3}} $