Question

what is the approximate value of $q$ in the equation below?
$q+\log_{2}6=2q+2$
-1.613
-1.522
0.585
3.079

Explanation:

Step1: Isolate q terms

Subtract $q$ from both sides.
$\log_{2}6 = q + 2$

Step2: Isolate q

Subtract 2 from both sides.
$q = \log_{2}6 - 2$

Step3: Calculate $\log_{2}6$

Use change of base formula: $\log_{2}6=\frac{\ln6}{\ln2}\approx\frac{1.7918}{0.6931}\approx2.5850$

Step4: Compute final q value

Substitute and calculate.
$q\approx2.5850 - 2 = 0.585$

Answer:

0.585