The Discrete Logarithm Problem involves finding the exponent k in the equation g^k \equiv h \mod p , where g is a known base, h is a known result, and p is a prime number. This problem is considered difficult to solve, especially as the size of p increases, making it a key component in various cryptographic systems. This problem is foundational for the security of protocols like Diffie-Hellman key exchange and Digital Signature Algorithm (DSA). The difficulty of solving the discrete logarithm problem ensures that even if an attacker knows g , h , and p , they cannot easily determine k , thus protecting sensitive information.