Expand the following `N=N_(0)e^(-lambdat)`

Explanation

To expand the expression \( N = N_0 e^{-\lambda t} \), we can follow these steps:

### Step 1: Understand the Expression
The expression \( N = N_0 e^{-\lambda t} \) represents an exponential decay where \( N_0 \) is the initial quantity, \( \lambda \) is the decay constant, and \( t \) is time.

### Step 2: Take the Natural Logarithm
To expand this expression, we can take the natural logarithm (ln) of both sides:
\[
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