共50条信息
若数列\(\left\{ {{\log }_{3}}{{a}_{n}} \right\}\)为等差数列,且\({{\log }_{3}}{{a}_{1}}+{{\log }_{3}}{{a}_{2}}+\cdots +{{\log }_{3}}{{a}_{10}}=10\),则\({{a}_{5}}{{a}_{6}}=\)___________.
函数\(f(x){=}e^{\ln\left| x \right|}{+}\dfrac{1}{x}\)的大致图象为( )
设\(a{=}\log_{5}10{,}b{=}\log_{6}12{,}c{=}1{+}\log_{7}2\),则\(({ })\)
已知\(2\lg (x-2y)=\lg x+\lg y\),则\(\dfrac{x}{y}\)的值为 \((\) \()\)
用\(\lg \) \(x\),\(\lg \) \(y\),\(\lg \) \(z\)表示下列各式:
\((1)\lg (\)\(xyz\)\()\);
\((2)\lg \dfrac{xy^{2}}{z}\);
\((3)\lg \dfrac{xy^{3}}{ \sqrt{z}}\);
\((4)\lg \dfrac{ \sqrt{x}}{y^{2}z}\).
\(\sqrt[3]{({-}4)^{3}}{+}({-}\dfrac{1}{8})^{{-}\frac{4}{3}}{+}(\lg 2)^{2}{+}\lg 5{⋅}\lg 20{=}\) ______ .
已知\({{2}^{x}}=3,{{\log }_{2}}5=y\),则\(x+y\)等于 \((\) \()\)
\((1){{0.027}^{{--}\frac{1}{3}}}-{{(-\dfrac{1}{7})}^{-2}}+{{256}^{\frac{3}{4}}}-{{3}^{-1}}+{{(\sqrt{2}-1)}^{0}}\);
\((2)\dfrac{\lg 8+\lg 125-\lg 2-\lg 5}{\lg \sqrt{10}\lg 0.1}\)。
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