Drag and drop the reasons for the steps into each box to correctly solve the equation.

$lo{g}_2(5)+lo{g}_2(x+2)-lo{g}_2(x+1)=lo{g}_2(7)$

Statement

Reason

$lo{g}_2(5(x+2))-lo{g}_2(x+1)=lo{g}_2(7)$

$lo{g}_2(\frac{5(x+2)}{x+1})=lo{g}_2(7),$

$\frac{5(x+2)}{x+1}=7$ Multiplication Property $of$ Equality

$5(x+2)=7(x+1)$ Distributive Property $of$ Equality

$5x+10=7x+7$ Division Property $of$ Equality

$3=2x,$

$x=\frac{3}{2},$

Division Property of Equality

Quotient Property of Logarithms

Subtraction Property of Logarithms