for a certain credit card, given a starting balance of p and an ending balance of a, the function below gives the number of months n that have passed, assuming that no payments or additional purchases occurred during that time. suppose you started with a debt of $1000 and now owe $1210.26. the debt has been building for months. round to the nearest whole month. (hint: first simplify the numerator by hand, using the properties of logarithms. then use a calculator to evaluate the numerator divided by the denominator to find the value of n.)

n = log a − log p / log(1.0175)