Автор - Kingbox887

Знайти x якщо:
frac{log_{9} 27+log_{9}3}{2log_{2}6-log_{2}9}

Ответ

Проверено экспертом

Автор - 7x8

frac{log_{9} 27+log_{9}3}{2log_{2}6-log_{2}9}=frac{log_{9} (27cdot3)}{log_{2}6^2-log_{2}9}=frac{log_{9} 81}{log_{2}36-log_{2}9}=frac{log_{9} 9^2}{log_{2}(36:9)}=\\frac{2log_{9} 9}{log_{2}4}=frac{2}{log_{2}2^2}=frac{2}{2log_{2}2}=frac{2}{2}=1

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