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Solve each problem. See Example 6.For $1981-2003,$ the number of billion cubic feet of natural gas gross withdrawals from crude oil wells in the United States can be approximated by the function defined by$$f(x)=3800+585 \log _{2} x$$where $x=1$ corresponds to $1981, x=2$ to $1982,$ and so on. (Source: Energy Information Administration.) Use this function to approximate, to the nearest unit, the number of cubic feet withdrawn in each of the following years.(a) 1982(b) 1988(c) 1996
(a) 4385 billion $\mathrm{ft}^{3}$(b) 5555 billion $\mathrm{ft}^{3}$(c) 6140 billion $\mathrm{ft}^{3}$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 3
Logarithmic Functions
Functions
Exponential and Logarithmic Functions
Missouri State University
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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Okay, so we want to determine the point. Slide in or graph, which is off of T is equal to it long. These five of two t plus five. So let's start with it. She is equal to zero, so we have evaluated at zero. That's equal to eight. Log based five of five, and that's equal to eight. Okay, now, for she is equal to 10. We have a 10 that you go to eat Log based five of two times 10. That's 20 plus five. So that's 25 we know that 25 is equal to five part two. So this here is an eight times a two, which is 16. And that's what we have on our graph and then lost Lee. You want to determine to use equal to 60 so we have f of Allah rated at 60 that you could to eight log this five of 60 and I looked back into our calculator. So we have this year is equal to approximately 20 points. 35 Actually, we need to plug in two times 60 plus five, so that gives us 100 and 25 125. It's five cubes. Do we actually get an eight times three? And that's equal to a 24
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