I have a table and was given an equation of best fit - the table is about the growing US population. My equation of best fit is y = 106.7236(1.0124)^x

I found my y intercept and the population in 2013. Now it is asking when will the US population break 400 million. In 2013 the population is 335.7 million. Is there an easier way to solve this, or do I just have to do trial and error?

Because I'm not sure how to solve the equation 400 = 106.7236(1.0124)^x?????

4 answers

log(400/106.7236) = x log(1.0124)
I'm sorry, but I really have no idea what this means....- what is log?
never heard of logarithms?

there is a log key on calculators
No, I am in basic math