The proof for the product property of logarithms requires simplifying the expression logb^(b^x+y) to x+y.

Which property is used to justify this step?

A) b^x•b^y=b^x+y

B) substitution

C) logb^(b^c)=c

D) commutative property

The property that can be used to justify this step would be C) logb^(b^c)=c

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4