Write the logarithmic equation y equals ln left parenthesis 5 x right parenthesis in exponential form.

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Part 1
The equivalent exponential form is
  
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1 answer

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:

\[ 5x = e^y \]