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In this video tutorial, Larry explains how to solve a logarithm problem using basic properties of logarithms. He demonstrates an example involving the properties of logarithms when dealing with multiplication, division, and addition. By simplifying the expression log of 60 plus log of 50 minus log of 3, he shows that it equals log of 1,000, with the base being 10. Larry emphasizes the importance of understanding basic logarithmic principles to solve such problems effectively. The key takeaway is that the answer to the problem is 3, as 10 to the power of 3 equals 1,000.