Question

rewrite as an exponential equation.
ln4 = y

Explanation:

Step1: Recall ln definition

The natural logarithm \(\ln(x)\) is defined as \(\log_{e}(x)\), where \(e\) is the base of the natural logarithm. So if \(\ln(4) = y\), this is equivalent to \(\log_{e}(4)=y\).

Step2: Convert log to exponential

The logarithmic equation \(\log_{b}(a)=c\) can be converted to the exponential equation \(b^{c}=a\). Here, \(b = e\), \(a = 4\), and \(c = y\). So substituting these values in, we get \(e^{y}=4\).

Answer:

\(e^{y}=4\)