Question

Найдите значение выражения: log· log

Answer 1

$log_{\pi}\sqrt{a}=3\\ log_{\pi}b=5\\\\ \sqrt{a}=\pi^3\\ a=\pi^6\\\\ b=\pi^5\\\\ log_{\pi^2}\frac{a^2b}{\pi^3}=log_{\pi^2}a^2b - log_{\pi^2}\pi^3 =\\\\ log_{\pi^2}\pi^{12}*\pi^5-log_{\pi^2}\pi^3=\\\\ log_{\pi^2}\pi^{17}-\frac{3}{2}=\\\\ \frac{17}{2}-\frac{3}{2} = \frac{14}{2} = 7$