To convert the logarithmic equation \( y = \ln(5x) \) to its exponential form, we use the definition of a natural logarithm. The natural logarithm \( \ln(a) \) is equivalent to saying that \( e^y = a \).
In this case, we can rewrite the equation as:
\[ e^y = 5x \]
So, the equivalent exponential form is:
\[ 5x = e^y \]