A bacterial culture doubles its population every 4.5 hours

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A bacterial culture doubles its population every 4.5 hours. Calculate the growth constant

k

(in

\text{hr}^{-1}

) giving an exact answer in terms of natural logarithms and a decimal approximation to three decimal places.