What is the base of the natural logarithm function f(x) = ln(x)? explain how you know.

base = e

Step-by-step explanation:

The general log function is defined as

            .... (1)

where, a is the base of the log function.

The natural logarithm function is

It can be rewritten as

             .... (2)

where, e is a constant or Euler's number is:

e ≈ 2.71828183

On comparing (1) and (2) we get

Therefore, the base of the natural logarithm function is e.

c

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.