Given the following logarithmic function below, what is the value of \( f\left(e^{4}\right) \) ? \( f(x)=\ln x \) 7 5 6 4 4

To evaluate \( f(e^4) \), we simply plug in \( e^4 \) into the function \( f(x) = \ln x \). Given the properties of logarithms, \( \ln(e^4) = 4 \). Therefore, the value of \( f(e^4) \) is 4. If you thought logarithms were just strict math rules, think again! They have fascinating historical roots tracing back to the work of John Napier in the early 17th century, who introduced them to simplify complex calculations, paving the way for modern mathematics. In real-world terms, logarithms are incredibly handy! They're used in diverse fields such as engineering, science, and finance. For instance, in measuring sound intensity (decibels), or calculating pH levels in chemistry, logarithmic scales help us handle vast ranges of data more manageably.