Using properties of logarithms,

Log(a/b)=log a-log b

Log(ab)=log a+log b

In the given equation,

Log2(x)+log2(x+2)=log2(x+6)

Log2(x*(x+2))=log2(x+6)

Canceling log2 on both sides of the equation.

x^2+2x=x+6

x^2+2x-x-6=0

x^2+x-6=0

x^2+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x=-3,+2

X lies between -10. &10

Y lies between -7.28 to +7.28 by graphing utility calculator method.graph (1).png

Using graphing utility,we graph the left and right hand side log equations separately.Desmos Graphing Calculator3.pdf

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