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comment How do you explain the concept of logarithm to a five year old?
I know this is not strictly explaining logarithms to children, but it may help with the connection. From a young age I had many earthquakes in my country (NZ), and we knew that the earthquakes worked on a Richter scale, which happens to be logarithmic. We knew that 6 was 10x greater than 5. Often children just need to know why something is useful before they start trying to understand it. Lazy loaded learning.