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With the Math.Log and Math.Log10 methods in the System namespace, we compute logarithms with a specific base or base 10. These methods are tested—they do not need to be debugged.

**Example.** Here we compute the logarithms of some known numbers. The logarithm of 1 with base "e" is always zero—the method matches this result. The logarithm of 1000 with base 10 is always 3. This is because 10 to the power of 3 is 1000.

**Finally:** You can duplicate the effects of Log10 with Log by passing 10 as the second argument.

C# program that uses Log and Log10 methodsusing System; class Program { static void Main() { double a = Math.Log(1); Console.WriteLine(a); double b = Math.Log10(1000); Console.WriteLine(b); double c = Math.Log(1000, 10); Console.WriteLine(c); } }Output0 3 3

**Uses.** What are some uses for Math.Log and Math.Log10? Generally, these methods are used for scientific formulas. Developing a fractal generator in the C# language would be interesting, and it would involve logarithms.

**Summary.** The Math.Log and Math.Log10 methods provide accurate results for logarithms in the C# language. They are built into the Framework. This means they don't require many additional development resources.

**Tip:** If you need to optimize their performance, try using a lookup table to cache or precompute the most common values.