Log N^3 = 3 log N
using the theorem log a^2 = 2 log a
To complete a square for ax²+bx+c, you first make a=1.
in this case, a is already 1
move c to the right side: x²+14x=-47
next, add (1/2 of b)² to both sides, in this case, b=14, half of 14 is 7, so x²+14x+ 7²=-47+7²
the left side is now a perfect square: (x+7)²=2
x+7=√2 or x+7=-√2
x=√2-7, or x=-2-√7
The formula of a midpoint:

The formula of a distance between two points:

We have the points P(3, 5) and Q(7, 5). Substitute:

<h3>M(5, 5)</h3>

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>