Keywords:
<em>equation, variable, clear, round, centesima, neperian logarithm, exponential
</em>
For this case we have the following equation
, from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:

So:
We apply Neperian logarithm to both sides:

We divide between "3" both sides of the equation:

Rounding out the nearest hundredth we have:

Answer:

This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
The answer is 2 feet it is equal to two feet