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In this tutorial on complex analysis, we discuss the complex logarithm and its relationship to the exponential function. The logarithm is considered the inverse of the exponential function, similar to how it works with real numbers. The exponential function has the entire real number line as its domain and values between 0 to infinity. To create a bijective function, the logarithm function is restricted to positive real numbers only. This allows for a clear visualization of the relationship between the two functions.