Question

Вычислить log536-log512/log59

Answer 1

$\frac{log_536-log_512}{log_59} = \frac{log_56^2-log_512}{log_53^2} = \frac{2log_56-log_512}{2log_53} = \frac{log_56^2-log_512}{2log_53} = \frac{log_5 \frac{6^2}{12} }{2log_53} =$
$= \frac{log_5 \frac{36}{12} }{2log_53} = \frac{log_53}{2log_53} = \frac{1}{2} =0,5$