When you calculate \(\ln(5)\), you are finding the value of the logarithm of 5 with base \(e\), where \(e\) is approximately equal to \(2.71828\). In mathematical terms, this means you are looking for the exponent \(x\) such that:
\[ e^x = 5 \]
Thus, \(\ln(5)\) is the power to which \(e\) must be raised to equal 5. This means that \(\ln(5)\) represents the solution to the equation \(e^x = 5\).
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