What is the approximate value of q in the equation below?

q + log Subscript 2 Baseline 6 = 2 q + 2
–1.613
–1.522
0.585
3.079

Given:

The given equation is

We need to determine the approximate value of q.

Value of q:

To determine the value of q, let us solve the equation for q.

Hence, Subtracting on both sides of the equation, we get;

Subtracting both sides of the equation by 2q, we have;

Dividing both sides of the equation by -1, we have;

Now, substituting the value of , we have;

Subtracting the values, we get;

Thus, the approximate value of q is 0.585

Hence, Option C is the correct answer.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: