Question

помогите решить пожалуйста​

Answer 1

$\log_{\sqrt{3}}\sqrt[6]{a} = \dfrac{\log\sqrt[6]{a}}{\log\sqrt{3}} = \dfrac{\frac{1}{6}\log a}{\frac{1}{2}\log3} = \dfrac{1}{3}\cdot\dfrac{\log a}{\log 3} = \dfrac{1}{3}\cdot\dfrac{\log a}{\log \sqrt[3]{3^3}} = \dfrac{1}{3}\cdot\dfrac{\log a}{\frac{1}{3}\log 27} = \dfrac{\log a}{\log 27} = \dfrac{1}{\frac{\log 27}{\log a}} = \dfrac{1}{\log_a 27} = \dfrac{1}{b}$