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 \((\) \()\)
已知\( \dfrac{1}{\log _{2}a}+ \dfrac{1}{\log _{4}a}=3\),则\(a=\)__________.
已知函数\(f(x)=\begin{cases} & \log \dfrac{1}{2}x,x > 0, \\ & \cos x,x\leqslant 0, \end{cases}\)则\(f\left( f\left( -\dfrac{\pi }{3} \right) \right)=\)________
\(\log _{a}(MN)=\log _{a}M+\log _{a}N.(\) \()\)
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\((\) \()\)
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