A strain of bacteria grows as N = N₀ eʳᵗ with r = 1.8 per hour.

Exponential growth: $N = N_0 \times 2^{t/T}$, with doubling time $T$, or $N = N_0 e^{rt}$, with growth rate $r$. They agree when $T = \dfrac{\ln 2}{r}$. In Python: N0 * 2 ** (t / T) and N0 * np.exp(r * t); a loop doubles with N = 2 * N. On a log axis the growth is a straight line.