The derivative of log, () is Recall that log, (x) = In(x), and that In(e) = 1. Putting these facts a In(b) together, we see that: 1 the derivative of In(x) is -. That is to say, the natural logarithm function, In(x), is the one whose derivative formula is simplest. (This is a big reason why it is used in mathematics instead of a logarithm with a more "psychologically comfortable" base, like base 10.) For the function f(x) = 10 ln(x): f'(x) = f'(2) -

Can someone explain in laymen terms what is the difference in  Log Natural Log (ln) and "e" And what are their relations? I am confused as to when to use one over the other? Like why would you use ln over log in one situation?

What is the Domain of the following logarithmic functions? 1) f(x) = log(3x - 21) 2) f(x) = log(2x + 16) 3) f(x) = log2 (x - 2)

The graph of y = 3* is shown below. i) Sketch its inverse on the same grid. Label the graph with its equation. ( ii) Explain how the graphs demonstrate that each function is an inverse of the other. Given logn - 1.322, determine the approximate value of log Show your work. (1

QUESTION 5 The derivative of log,10x is: 1/(10x) 10/(x In 2) 1/(x In 2)