Сравнить с "0" а) [latex]log _{0,1} 14[/latex] б) [latex] lg 0,45[/latex]

[latex]log_{0,1}14 =log_{ \frac{1}{10} }14=- log_{10} 14 = - lg 14 \\ lg 14 \ \textgreater \ 0 \\ -lg14\ \textless \ 0 \\ log_{0,1}14\ \textless \ 0 \\ \\ lg0,45 = lg \frac{45}{100} = -lg \frac{100}{45} =- (lg100-lg45) = lg45-2 \\ lg45 \ \textless \ 2 \\ 2-lg45\ \textless \ 0 \\ lg0,45\ \textless \ 0[/latex]