log15(x-3)+log15(x-5)

ekaterina2velikaya @ekaterina2velikaya

October 2021 1 23 Report

log15(x-3)+log15(x-5)<1 Решить неравенство

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Lemon4iki $log_{15}(x-3)+log_{15}(x-5)\ \textless \ 1\\log_{15}((x-3)(x-5))\ \textless \ log_{15}15\\(x-3)(x-5)\ \textless \ 15\\x^2-8x+15-15\ \textless \ 0\\x(x-8)\ \textless \ 0\\0\ \textless \ x\ \textless \ 8$

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