Logan's only debt obligations are a car loan payment of $512 and a credit card payment of $70 every month. what is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload?

The most used payment plan to avoid being in debt today is the 20% payment plan. In this payment , you divide your income into several parts.
20% for paying up debts, 10 % for savings, and 70% for everything else.

So, assuming that x is the minimum amount of money,  we know that

$ 512 + $70 =  20% . X

$ 582 = 0.2 . x

$ 582 / 0.2 = x

x = $ 2910