How do you find the value of g when gx = 3 and x = e, and then calculate g when x = 14?

To find the function g given that gx = 3 and x = e, we first need to understand the relationship described by the equation.

Here, we can express g as:

g = 3/x

Now, substituting x = e into the equation, we get:

g(e) = 3/e

At this point, we have determined that g is a function that depends on the variable x.

Next, to find g(14), we again apply our function definition:

g(14) = 3/14

Thus, the value of g when x = 14 is:

g(14) = 0.2142857142857143

In conclusion, we have:

Therefore, the value of g when x = 14 is approximately 0.2143.