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Vox Academy teaches how to add and subtract logarithms. Logarithms consist of a base and an exponent which equals a number. Logarithms are expressed as log(base, exponent) = number. For example, log3(9) = 2. Adding and subtracting logarithms involves combining them using the properties of logarithms. In the example provided, log3(27) + log8(8) - log16(4) is shown.