#### To determine

**To find:**

Find the distance in miles which we have to move to the right of the origin before the curve

reaches 3 ft.

#### Answer

We have to move 1084393 miles approximately to the right of the origin before the height of the

curve reaches 3 ft.

#### Explanation

**Calculation**: Given fx=log2x. It is given that unit of measurement is 1 inch.

We know that

1 ft = 12 inches, so 3 ft = 36 inches.

Suppose, we have to move x miles to the right of the origin before the height of the curve

reaches 3 ft i.e.36 inches. Thus, we have to find * x* such that

log2x=36

Applying exponential function on both sides, we have

x=236 inches.

So, we have to move 236 inches to the right of origin.

Since 1 inch=0.00001578 mile. So, by using calculator, we have

236inches≈1084393 milesapproximately.

Thus, we have to move 1084393 miles approximately to the right of the origin before the height

of the curve reaches 3 ft.

**Conclusion:**

We have to move 1084393 miles approximately to the right of the origin before the height of the

curve reaches 3 ft.