Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

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Overall, logarithms provide a powerful toolset for dealing with exponential relationships, making computations more manageable, and offering insights into various phenomena across different …

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Sal explains what logarithms are and gives a few examples of finding logarithms.

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So this is a logarithm property. If I'm taking the logarithm of a given base of something to a power, I could take that power out front and multiply that times the log of the base, of just the y in this …

Learn logarithms with Khan Academy's free, interactive lessons and videos designed to make complex math concepts easy to understand.

Think of it this way -- logarithms are just another way of looking at things. You know that 2^3 is 8, but if you didn't know what power to raise it to, you'd say 2^x is 8.

In a base ten logarithmic scale, 2 cm on the scale corresponds to 10² (100). 3 cm corresponds to 10³ (1000). Obviously, if we change the base of the logarithm, the spacing between each …