To make the facility attractive to the community, you are planning to acquire open land to surround the 125,000 square feet of built space, which will include a sprawling water treatment plant, an office, and paved surfaces. If you have determined that a 5:2 ratio of open land to built space is ideal, how much land should be purchased for open space?

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answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: