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Since the natural log function to the base e (log e e) is equal to 1, The derivative of log e is equal to zero, because the derivative of any constant value is equal to zero Sample Problem Question Solve e x = 62 Solution Given e x = 62 Taking the natural log on both sides, it becomesValue of Log e The power to which a number should be raised to get the specified number is called the logarithm of that number For example, logarithm to the base 10 of 1000 is 3 because 10 raised to the power 3 is 1000 Logarithmic function is the inverse Mathematical function of exponential function The logarithmic function log ax = y isThe expression for the derivative is the same as the one for the original function That is The derivative of e x is e x The derivative of e x is e x This is one of the properties that makes the exponential function really important Now you can forget for a while the series expression for the exponential We only needed it here to prove the Finding The Derivative Of Log X Vi