Question

Помогите с алгеброй, логарифмы

Answer 1

$1) lgy=3lga+2lgb-3lgc \\ lgy = lga^3+lgb^2-lgc^3 \\ lgy = lg \frac{a^3+b^2}{c^3}\\ \\ y = \frac{a^3+b^2}{c^3} \\ \\ \\ 2)lgy = \frac{1}{2}lg(a-b) +3lgb-2lgc \\ lgy=lg \sqrt{a-b} +lgb^3-lgc^2 \\ lgy= lg\frac{ b^3\sqrt{a-b} }{c^2} \\ \\ y=\frac{ b^3\sqrt{a-b} }{c^2} \\ \\ \\ 3)lgy = - \frac{1}{2}lga + 7lgb-2lgc-3lgd \\ lgy = tgb^7-lgc^2-lgd^3-lg \sqrt{a} \\ lgy = \frac{b^7}{c^2d^3 \sqrt{a} } \\ \\ y= \frac{b^7}{c^2d^3 \sqrt{a} }$