The discussion highlights the importance of using a log scale in Bode plots, particularly for the frequency axis, which is represented as log10(wt). This logarithmic representation allows for a wide frequency range to be displayed effectively without requiring extensive graph paper. The conversion from voltage ratio to decibels is clarified with the formula 20.log10(...). Additionally, the possibility of using log-log graph paper is mentioned as an alternative method for data representation. Overall, the use of a log scale is crucial for clarity and efficiency in visualizing frequency response data.