Step 1 :To solve this problem, we need to calculate the logarithm of 89.5 to the base 15.
Step 2 :The logarithm function returns the logarithm of a number to the specified base.
Step 3 :In this case, we calculate the logarithm of 89.5 to the base 15 and get approximately 1.6595846795792777.
Step 4 :So, the final answer is approximately \(\boxed{1.66}\).