(07.03, 07.04 mc) mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. using complete sentences, describe to mike how to solve this equation. (10 p

The answer to the equation is 3

Step-by-step explanation:

The first thing we need to do to solve this equation is isolate the x. To do this, we will rewrite the equation like this: 37/12=x (Notice we've switched multiplication to division.) From here, we can efficiently solve the problem. 37/12=3 and, therefore, x=3

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.

the third picture

step-by-step explanation:

astronomers is your final answer! : )