Question

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply. f(x)=2(3)^x g(x)=10log(x+3)

Answer 1

Hi. if you have acces to a ti-84 plus or a virtual to plug it into Y= and click 2nd and graph which will take you to the data table

Answer 2

The correct option is 1.

Explanation:

The system of equations is

`f(x)=2(3)^x`

`g(x)=10\log (x+3)`

Using graphing tool we can draw the graph as shown below.

From the below graph it is clear the graph of f(x) and g(x) intersect at (-1.944,0.236) and (1.004,6.025).

`(-1.944,0.236)\approx (-2,0.2)`

`(1.004,6.025)\approx (1,6)`

The approximate solutions of the given system of equations are (-2,02) and (1,6). Therefore only option 1 is correct.