Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.

Start by getting the x to be alone

Step-by-step explanation:

x=0.6882

In order to solve this problem, we must use logs, from either base.

We must first take the log of both sides, which will give us log 37^x=log 12. Then we have to multiply x by log(37), due to the power rule of logs, so we will now have x times log(37)=log (12). Afterwards, we have to divide both sides by log (37), so the equation will become x=log (12) / log (37) --> x=1.079/1.568, and our final simplifed answer will be 0.6882. We can then simply input the value of x into the original equation to check, and then we will know it is the correct answer.

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d