Logarithms can be used to calculate the frequency of drug dosages needed based on an exponential decay model. The equation relating the amount of drug left over time can be converted to logarithmic form to plot a graph and determine the rate of decay. Based on sample data provided, it is not advisable to take another 200mg dosage after 2.5 hours as the amount of drug would exceed the toxic limit of 300mg. The amount estimated to remain after 8 hours is 32.5mg. Therefore, the conclusion is that one dosage of this particular drug should be taken every 6 hours to avoid overdose.