срочно
Ответы на вопрос
Ответил Artem112
0
Свойства логарифмов:
![log_aa^b=b
\
log_ab+log_ac=log_abc \ log_ab-log_ac=log_a frac{b}{c}](https://tex.z-dn.net/?f=log_aa%5Eb%3Db%0A%5C%0Alog_ab%2Blog_ac%3Dlog_abc+%5C+log_ab-log_ac%3Dlog_a+frac%7Bb%7D%7Bc%7D "log_aa^b=b
\
log_ab+log_ac=log_abc \ log_ab-log_ac=log_a frac{b}{c}")
![log _{5} 6-log _{5}2+log _{5} frac{25}{4} =
log _{5} 6-log _{5}2+log _{5} 25-log _{5} 4=
\
=log _{5} 25+log _{5} frac{6}{2cdot4} =log _{5} 5^2+log _{5} frac{3}{4} =
2+log _{5} frac{3}{4}](https://tex.z-dn.net/?f=log+_%7B5%7D+6-log+_%7B5%7D2%2Blog+_%7B5%7D+frac%7B25%7D%7B4%7D+%3D%0Alog+_%7B5%7D+6-log+_%7B5%7D2%2Blog+_%7B5%7D+25-log+_%7B5%7D+4%3D%0A%5C%0A%3Dlog+_%7B5%7D+25%2Blog+_%7B5%7D++frac%7B6%7D%7B2cdot4%7D+%3Dlog+_%7B5%7D+5%5E2%2Blog+_%7B5%7D++frac%7B3%7D%7B4%7D+%3D%0A2%2Blog+_%7B5%7D++frac%7B3%7D%7B4%7D+ "log _{5} 6-log _{5}2+log _{5} frac{25}{4} =
log _{5} 6-log _{5}2+log _{5} 25-log _{5} 4=
\
=log _{5} 25+log _{5} frac{6}{2cdot4} =log _{5} 5^2+log _{5} frac{3}{4} =
2+log _{5} frac{3}{4}")
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