Question

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

Answer 1

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.

Answer 2

Answer:

C.

Step-by-step explanation: