Use the rule stating that the derivative of log b(x) is 1/(x * ln(b)). For example, the derivative of log 5(x) is 1/(x * ln(5)).
Use the rule that the derivative of ln(x) is 1/x. For example, the derivative of ln(7) = 1/7.
Use the product rule to help solve more complicated derivatives. The general form of the product rule is h(x) = f(x)g(x) = f(x)g(x) + f(x)g(x). This is useful when you have a function that is the product of two other functions. You take the derivative of the first part multiplied by the unchanged second part then add it to the derivative of the second part multiplied by the unchanged first part. For example, the derivative of x * ln(x) becomes 1 * ln(x) + x * (1/x), which is ln(x) + 1.