"Свойства логарифмов" решить

Решите задачу:

$1)\quad log_413\cdot log_{13}16= \frac{log_213}{log_24}\cdot \frac{log_216}{log_213} = \frac{log_22^4}{log_22^2} =\frac{4}{2}=2\\\\ili\\\\log_413\cdot log_{13}16=log_413\cdot \frac{1}{log_{16}13}= \frac{log_{4}13}{log_{4^2}13}= \frac{log_413}{\frac{1}{2}log_413} = \frac{2\cdot log_413}{log_413} =2\\\\2)\quad \frac{6^{log_{12}432}}{6^{log_{12}3}} =6^{log_{12}432-log_123}=6^{log_{12}\frac{432}{3}}=6^{log_{12}144}=6^{log_{12}12^2}=\\\\=6^{2log_{12}12}=6^2=36$

$3)\quad 75\cdot log_{11}\sqrt[3]{11}=75\cdot log_{11}11^{\frac{1}{3}}=75\cdot \frac{1}{3}log_{11}11=25$