Answer:
$20,628
Step-by-step explanation:
The amount that Logan will repay can be calculated as:

Where P is the amount that she will borrow, r is the annual rate and t is the time in years.
So, we can replace A by 23000, r by 6%, and t by 23/12 because a year has 12 months. Then:

Finally, to know the maximum amount that Logan can borrow, we need to solve the equation for P as:

So, the answer is $20,628