Understanding scale in R

Question

I'm attempting to comprehend R's definition of scale. There is a VERY significant positive skew in the data I have (mydata) that I want to use to create a heat map with. For both scale (my data) and log (my data), I made a heatmap with a dendrogram, and the dendrograms are distinct for each. Why? What is the difference between scaling and log-transforming my data? Which would be more suitable if I wanted to view the dendrogram showing how my data's columns are related to one another?

Any assistance is appreciated. Despite reading the definitions, they are completely out of my league.