Enhanced the QuEraComputing/kirin repository by implementing a generic logarithm function that accepts an explicit base, expanding the math dialect’s capabilities for numerical analysis and scripting. The work focused on Python programming and mathematical software development, ensuring compatibility with existing math functions while enabling arbitrary-base logarithmic operations. Addressed a signature-inspection edge case by requiring an explicit base argument, which improved reliability and maintainability. Collaborated with team members to align the design with ongoing project requirements and documented decisions for future extensibility. This contribution strengthened the foundational math features of the library, supporting more robust analytics and downstream computational workflows.