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Simplify the expression without using a calculator.

[tex]\[ \ln e^7 = \][/tex]

[tex]\[\square \][/tex]

Sagot :

GinnyAnswer
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.
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