Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start. using complete sentences, describe to mike how to solve this equation.

The equation is 37ˣ = 12
First, logarithms should be taken on each side. Any base of the logarithms will suffice but we will use base 10 since it is easily available on calculators.
log(37ˣ) = log(12)
In logarithms, the power of the number comes down as a coefficient of the logarithm. So,
xlog(37) = log(12)
Now, we divide on both sides by log(37) to get x alone
x = log(12)/log(37)
using a calculator, we obtain,
x = 0.688

Dbc if u do the math and stuff that what i got let me know if i was wrong