共50条信息
计算下列各式的值：
\((1)2{{\log }_{3}}2-{{\log }_{3}}\dfrac{32}{9}+{{\log }_{3}}8-{{25}^{{{\log }_{5}}3}}\)．
\((2){{[{{({{0.064}^{\frac{1}{5}}})}^{-2.5}}]}^{\frac{2}{3}}}-\sqrt[3]{3\dfrac{3}{8}}-{{\mathrm{ }\!\!\pi\!\!{ }}^{0}}\)．
求值\((\)Ⅰ\()(3 \dfrac{3}{8}{)}^{ \frac{2}{3}}(5 \dfrac{4}{9}{)}^{0.5}+[(-2{)}^{3}{]}^{- \frac{4}{3}}÷0.{0625}^{0.25}-(-π{)}^{0} \)
\((\)Ⅱ\(){2}^{{\log }_{2} \frac{1}{4}}+( \sqrt{2}-1{)}^{\ln 1}+ \dfrac{1}{1+{\log }_{2}3}-{\log }_{36} \dfrac{1}{9} \)
计算：\((1){{(-\dfrac{7}{8})}^{0}}+{{8}^{\frac{1}{3}}}+\sqrt[4]{{{(3-\pi )}^{4}}}\)．
\((2)\)化简：\({{\log }_{3}}\sqrt{27}-{{\log }_{3}}\sqrt{3}+\lg 25+\lg 4+\ln ({{e}^{2}})\)
化简求值：\((\)Ⅰ\()\)\({{0.064}^{-\frac{1}{3}}}-{{\left( -\dfrac{1}{8} \right)}^{0}}+{{16}^{\frac{3}{4}}}+{{0.25}^{\frac{1}{2}}}\)；
\((\)Ⅱ\()\dfrac{1}{2}\lg 25+\lg 2-\lg \sqrt{0.1}-{{\log }_{2}}9\times {{\log }_{3}}2\)．
计算下列各式的值
\((1){\left( \dfrac{25}{9}\right)}^{0.5}+{\left( \dfrac{27}{64}\right)}^{- \frac{2}{3}}+{\left(0.1\right)}^{-2}-3{π}^{0} \)
\((2)\lg \dfrac{1}{2}+\lg \dfrac{5}{8}+\lg 12.5-{\log }_{8}9·{\log }_{27}8 \)
已知定义域为\(R\)的函数\(f(x)= \dfrac{n-{2}^{x}}{{2}^{x+1}+m} \)是奇函数．
\((\)Ⅰ\()\)求\(m\)，\(n\)的值；
\((\)Ⅱ\()\)当\(x∈[ \dfrac{1}{2},3] \)时，\(f(kx^{2})+f(2x-1) > 0\)恒成立，求实数\(k\)的取值范围．
进入组卷