Can executing an operation in logarithmic time be faster than in linear time?

Yes, performing an operation in logarithmic time (O(log n)) is usually faster than in linear time (O(n)) for large data volumes because logarithmic complexity grows much more slowly. For example, binary search in a sorted array operates in O(log n), whereas a simple linear search is O(n). However, for very small data sizes, constants and overheads can make a linear algorithm faster in practice.