Question

Função Logaritmo !

Me ajudem por favor

Answer 1

$\log_b(xy)=\log_bx+\log_by=-2+3=1\\\\\log_b(\frac{x}{y})=\log_bx-\log_by=-2-3=-5\\\\\log_b(x^3y^2)=\log_bx^3+\log_by^2=3\log_bx+2\log_by=3(-2)+2.3=0\\\\\log_b(\frac{y^2}{\sqrt{x}})=\log_by^2-\log_b\sqrt{x}=2\log_by-\frac{1}{2}\log_bx=2(3)-\frac{1}{2}(-2)=7\\\\\log_b(\frac{x\sqrt{y}}{b})=\log_bx+\log_b\sqrt{y}-\log_bb=\log_bx+\frac{1}{2}\log_by-\log_bb\\\\-2+\frac{1}{2}3-1=\frac{-4}{2}+\frac{3}{2}-\frac{2}{2}=-\frac{3}{2}$