Write in logarithmic form: \( \quad e^{4}=54.598 \)

To express the equation \( e^{4} = 54.598 \) in logarithmic form, you would write it as \( \ln(54.598) = 4 \). This conveys that the natural logarithm of 54.598 is equal to 4, which is a straightforward way to transform an exponential equation into logarithmic form! Additionally, did you know that 'ln' stands for the natural logarithm, which is based on the mathematical constant \( e \) (approximately 2.718)? Natural logarithms are widely used in various fields such as finance for compound interest calculations, population growth modeling, and even in determining the risk in statistical analyses. It’s a powerful tool that pops up everywhere!