The equation \ln(x) = y represents the natural logarithm of x , where y is the exponent to which the base e (approximately 2.718) must be raised to obtain x . In simpler terms, if you know y , you can find x by calculating e^y . This relationship is fundamental in mathematics, particularly in calculus and exponential growth problems. The natural logarithm, denoted as \ln , is widely used in various fields, including science, engineering, and finance. It helps in solving equations involving exponential functions and is essential for understanding concepts like compound interest and population growth.