A Professor Discovers That the GPA of a Student at Her

Short Answer

A professor discovers that the GPA of a student at her university can be estimated reasonably well using the formula $G = \log \left( \frac { h } { d + 1 } \right) ^ { 1.9 }$ where h is the total number of hours spent studying outside of class in a semester, d is the number of classes missed during the semester, and G is the student's GPA for the semester. Expand this formula using properties of logs, and use your answer to find the expected semester GPA of a student that studies for 300 hours and misses 2 classes.