(Cesgranrio - adaptada) Se p q
é a fração irredutível equivalente à dízima periódica

0,535353..., então q − p vale:

He became the first Black U.S. Senator elected from Georgia, the first Black Democratic U.S. Senator elected in the South and, when he’s sworn in, he’ll become only the 11th Black senator elected in U.S. history. Warnock is one of 12 children, who grew up in a Savannah housing project.

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: