Question

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

Answer 1

C. 0.585

Explanation:

Answer 2

Given:

The given equation is
`q+\log _(2)(6)=2 q+2`

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
`\log _(2)(6)` on both sides of the equation, we get;

`q=2 q+2-\log _(2)(6)`

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

`-q=2-\log _(2)(6)`

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

`q=\log _(2)(6)-2`

Now, substituting the value of
`log_2(6)=2.585`, we have;

`q=2.585-2`

Subtracting the values, we get;

`q=0.585`

Thus, the approximate value of q is 0.585

Hence, Option C is the correct answer.