Write the expression as a single logarithm. \( 5 \log _{5}(7 y+1)+\frac{1}{2} \log _{5}(y+3) \) \( \log _{\square}(\square) \)

* 1 punto (2x \( \left.x^{2} y-3 x y z+z^{3}\right)-\left(x^{2} y-4 x y z-2 z^{3}\right)+\left(3 x y^{2} z-y^{3}+z^{2}\right) \) a) \( x^{2} y+x y^{2} z-7 x y z-y^{3}+3 z^{2}+3 z^{3} \) b) \( x^{2} y+3 x y^{2} z+y^{3}-7 x y z+3 z^{2}+z^{3} \) c) \( x^{2} y+3 x y^{2} z-y^{3}+x y z+3 z^{2}+3 z^{3} \) d) \( 3 x^{2} y+3 x y^{2} z-y^{3}-7 x y z+3 z^{2}+3 z^{3} \)

\( (2 x-3 y+z)(x+4 y-2 z) \) a) \( 2 x^{2}+5 x y-6 x z-12 y^{2}+13 y z-2 z^{2} \) b) \( 2 x^{2}+5 x y-4 x z-12 y^{2}+11 y z-2 z^{2} \) c) \( 2 x^{2}+8 x y-4 x z-12 y^{2}+11 y z-2 z^{2} \) d) \( 2 x^{2}-x y-4 x z-12 y^{2}+11 y z-2 z^{2} \)

D. If \( f(x)=x^{2}-\pi \), what is \( f(-3) \) ? A. 6 B. -6 C. -12 D. 12

5) \( 2 z \geqslant z-7 \)

\( \left(2 x^{2} y-3 z\right)\left(x^{3} z+4 y^{2}\right) \) a) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z y^{2} \) b) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z^{2} y \) c) \( 2 x^{5} y z-8 x^{2} y^{3}+3 x^{3} z^{2}-12 z^{2} y \) d) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 x^{2} z \)