Fast,

a. expand the following and state the law that is indicated.

1. log4(3x)

2. log3(27/x)

3. log4(x5)

ANSWER

1.

2.

3.

EXPLANATION

1. The given logarithmic expression is

Use the product rule:

We apply this rule to obtain:

2. The given logarithmic expression is

We apply the quotient rule:

This implies that;

We simplify to get;

Apply the power rule:

simplify;

3. The given logarithmic expression is;

Apply the power rule of logarithms.

This implies that,

lol

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.