Question

How do you graph `3900= 8000( 0.985) ^ { x }`?

Answer 1

Your graph should look like this:

Explanation:

Since there is no `y` value in this, we simply have to solve for `x`.

We first try to isolate `x`.
`3900=8000(0.985)^x`
`3900/8000=(0.985)^x`
`39/80=(0.985)^x`

Use logarithm on both sides.
`log_0.985 (39/80)=x`

You can use your calculator to get:
`47.53752857272~~x`

Now, you simply have to draw a vertical line that goes through the point where `x~~47.53725285272` with an undefined slop.