Question

Уже мозги плавятся,помогите!

Answer 1

$\log_{3\sqrt{2}}{(\frac{\sqrt[3]{18}}{\sqrt{12}})}=\log_{\sqrt{9}\sqrt{2}}{(18^{\frac{1}{3}})}-\log_{\sqrt{9}\sqrt{2}}{(12^{\frac{1}{2}})}=\\\\\frac{1}{3}\log_{18^{\frac{1}{2}}}{(18)}-\frac{1}{2}\log_{18^{\frac{1}{2}}}{(12)}=\frac{2}{3}\log_{18}{(18)}-\frac{2}{2}\log_{18}{(12)}=\\\\\frac{2}{3}-\log_{18}{12}\\\\Otvet:\frac{2}{3}-\log_{18}{12}.$