One day, I went onto Live Mathletics, and out of interest, I pressed Level 10. Using trial and error, I was able to figure out what log does to addition and subtraction problems. For example, in this problem log (6) + log (6) I knew that 6 x 6 = 36 so I assumed that log makes addition go to multiplication while log makes subtraction go to division, and with that I started answering the questions using my theory and I got them correct. This was how I figured out logs on Live Mathletics.
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