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,

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

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