Question

Table I contains outputs of the function f(x) = b* for some 2 values, and Table Il contains outputs of the
function g(x) = log (2) for some x values. In both functions, b is the same positive constant.
Fill in the missing values in the tables. If necessary, round your answer to three decimal places.

Answer 1

To complete the tables we need to evaluate both functions in the correspondent values.

For the first table the missing value is 6

For the second table, the missing value is 1.585

How to complete the tables?

In the first table, we can see that:

f(x) = b^x

We can see that:

f(-1) = 0.5= b^-1 = 1/b

Now we can solve this for b.

b = 1/0.5 = 2

Then to complete the table, we need to evaluate this on x = 2.585

f(2.585) = 2^2.585 = 6

This is the value that goes on the first table.

For the second table, the function is:

g(x) = log_b(x) = ln(x)/ln(b)

We already know that b = 2, then:

g(x) = ln(x)/ln(2).

To complete the value, we need to evaluate in x = 3, then we have:

g(3) =  ln(3)/ln(2) = 1.585

This is the value that goes on the second table.

If you want to learn more about evaluations, you can read:

https://brainly.com/question/4344214