# Math Help - Exponential Function

1. ## Exponential Function

You are working with a population of bacteria in liquid culture that's in its exponential growth phase. Your starting sample of cells is 5.09 X 1014, and 69 minutes later the population has doubled. What is the growth rate constant, k (bacteria min-1), of this population of exponentially growing bacteria?

2. Originally Posted by littlesohi
You are working with a population of bacteria in liquid culture that's in its exponential growth phase. Your starting sample of cells is 5.09 X 1014, and 69 minutes later the population has doubled. What is the growth rate constant, k (bacteria min-1), of this population of exponentially growing bacteria?
$P = P_0 e^{kt}$

$2P_0 = P_0 e^{k \cdot 69}$

$2 = e^{69k}$

solve for $k$