Write the following expression as a sum and/or difference of logarithms. Express powers as factors. \( \log _{b}\left(u^{3} v^{2}\right) \quad u>0, v>0 \) \( \log _{b}\left(u^{3} v^{2}\right)=\square \) (Simplify your answer.)

Jika \( \left(\begin{array}{cc}-2 & 2 \\ 5 & y\end{array}\right)\left(\begin{array}{ll}5 & 3 \\ x & 4\end{array}\right)=\left(\begin{array}{cc}-6 & 2 \\ 27 & 19\end{array}\right) \), cari nilai \( x \) dan \( y \). If \( \left(\begin{array}{cc}-2 & 2 \\ 5 & y\end{array}\right)\left(\begin{array}{ll}5 & 3 \\ x & 4\end{array}\right)=\left(\begin{array}{cc}-6 & 2 \\ 27 & 19\end{array}\right) \), find the value of \( x \) and \( y \).

1.Решить уравнение: \( \begin{array}{lll}\text { a) } \sqrt{x+3}=\sqrt{5-x} & \text { б) } \quad \sqrt{12+3 x}=2 & \text { в) } \quad x=1+\sqrt{x+11}\end{array} \)

FACTORIZAR APLICANDO CASOS COMBINADOS DE FACTDRES A) \( \cdot x^{3}+5 x^{2}-4 x-20 \) B) \( \cdot 75 x^{5}+60 x^{4}+12 x^{3} \) C) \( \cdot 2 x^{2}-18 \) d) \( x^{3}+x^{2}-9 x-9 \) e) \( x^{4}-81 \)

(12) If \( 4 n \geq 9 \), what is the least possible value of \( 4 n+1 ? \)

Given that \( g(x)=\sqrt{\frac{2 x+3}{5 x+6}} \), find \( g^{-1}(x) \) \( g^{-1}(x)=x^{2}-3 x \)