共50条信息
已知\(a={{5}^{{lo}{{{g}}_{2}}3.4}}\),\(b={{5}^{{lo}{{{g}}_{4}}3.6}}\),\(c={{\left( \dfrac{1}{5} \right)}^{{lo}{{{g}}_{3}}0.3}}\),则\((\) \()\)
计算:\(2^{\log }_{2}{}^{3+\log }{}_{4}{}^{3}=\)_______________.
设\(f(x)=\dfrac{{{9}^{x}}}{{{9}^{x}}+3}\),则\(f(\dfrac{1}{2018})+f(\dfrac{2}{2018})+...+f(\dfrac{2017}{2018})=\)________________;
已知幂函数\(y=f(x)\)的图像过点\((\dfrac{1}{3},\dfrac{\sqrt{3}}{3})\),则\(\log _{2}f(2)\)的值为____\(.\)
计算下列各式的值:
\((1)1.{5}^{ \frac{1}{3}}×\left(- \dfrac{7}{6}\right)+{8}^{0.25}× \sqrt{{\left( \dfrac{2}{3}\right)}^{ \frac{2}{3}}} \);
\((2) \dfrac{1}{2}1g \dfrac{32}{49}1g \sqrt{8}+1g \sqrt{245}+{10}^{1g3} \).
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