A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 70,000 fish. Due to population decreases,
the number of fish the company was able to catch decreased by 8% each year. How
many total fish did the company catch over the first 14 years, to the nearest whole
number?

ok then what happened.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: