Write down the definition of the derivative for general x, and use a law of logs to

Question:

Write down the definition of the derivative for general x, and use a law of logs to try to convert the limit into something that looks like the limit at x = 1, as in Exercise 31.
Instead of plugging different values of x into the definition of the derivative for ln(x), as in Exercises 31 and 32, we can use a law of logs to find the derivative in general.