To simplify the expression [tex]\(\ln(e^7)\)[/tex], we can use the properties of logarithms. Specifically, we use the natural logarithm property that states [tex]\(\ln(e^x) = x\)[/tex].
1. Identify the structure: The expression we have is [tex]\(\ln(e^7)\)[/tex].
2. Apply the property of logarithms: According to the property [tex]\(\ln(e^x) = x\)[/tex], we substitute [tex]\(x\)[/tex] with 7. This means that [tex]\(\ln(e^7) = 7\)[/tex].
So, the simplified result of [tex]\(\ln(e^7)\)[/tex] is [tex]\(7\)[/tex].
Thus, [tex]\(\boxed{7}\)[/tex] is the final answer.
