Question

упростите выражение 2лог2 3+лог7 2-лог7 14

Answer 1

2log₂3 + log₇2 - log₇14 = log₂9 + log₇$frac{2}{14}$ = 
= log₂9 + log₇$frac{1}{7}$ = log₂9 + log₇$7^{(-1)}$ = 
= log₂9 + (-1) = log₂9 - 1 = log₂9 - log₂2 = log₂$frac{9}{2}$ = log₂4,5