suppose-that-the-graph-of-ylog-_2-x-is-drawn-on-a-coordinate-grid-where-the-unit-of-measurement-is-a

Name: suppose that the graph of ylog _2 x is drawn on a coordinate grid where the unit of measurement is a
Uploaded: 2020-03-27
Duration: 36 s
Channel: Numerade
Description: Suppose that the graph of $y=\log _{2} x$ is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 $\mathrm{ft}$ ?

Question

Suppose that the graph of $y=\log _{2} x$ is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 $\mathrm{ft}$ ?

Amrita Bhasin · Accepted Answer

this question asks us to determine how many miles to the right of the origin do we have to move out before the height of the curve reaches three feet? We know three feet is equivalent to 36 inches. We must have constant units. Therefore we substitute 36 inches equals why? And now we&#x27;re solving for X. We get acts. Is too is our base to the power of 36 which we know two to the 30. Sex is equivalent to 1084588 miles. Remember the answers and

Ankit Gupta · Answer

the given Bega function for fixes. Equal group. Other box? No, they find the value of fixed, corrected toe goofy, so don&#x27;t be 24 inches and a secret X is equal. Do windy. For we compute. The Value X is equal to 24 in a perfect so poor 24 will be will do to power 24 Non Sequitur six and that a sequel do. 1677 salmon, 16 inches. This can be approximated to 65. What were given another function that is, your Texas? No, do it. Because if n g r inverse to each other since but function off So the value off X is equal to two feet, you have found 65 miles. It means that the function of G for Vaezi Quito the corresponding value affects X is equal to explain this and this worse off each other.

Katelyn Chen · Answer

for this question, we&#x27;re asked number things. So frizzle roots hold out the golf wise able to to to the X. We need to show a distance of two feet surround origin, the highest under 65 miles so no two feet in this case would be cooling to 24. And so do you know that 22 24 is equal to six? 167 million herbs are 16,777,216 inches. Our sorry or not in just feeds instead. Another, that is, you go to turn 65 miles and then for B. Weird&#x27;s told that if the graph so we have log base to of X, were asked, how far to the right origin do we have to go before the height hits two feet? Doing out of that is equal to when he&#x27;s hit about 24. And so, actually, we don&#x27;t even need to solve it because you know that they&#x27;re in versus of each other. We know that this is simply equal to 265 miles because it&#x27;s the inverse of wise sickle to two x

Aamir Mithaiwala · Answer

So for this problem, we can we can solve a algebraic with Well, if we want the the height to be 265 miles. Well, well, let&#x27;s say we have 265 miles and we want to convert that two inches. So we have 265 miles times 5280 feet per mile. And then we have we have times 12 inches per feet. Perfect. And so if we multiply this, what we get is is to 65 times 5280 times 12. So we get approximately approximately 17 17 million, 17 million. And it&#x27;s all right this as 17 to 17 times times 10 to the power of six. So this is also equal to 17 times 10 to the power of six. Well, we know that we should have approximately this value. We should have approximately this value if we have, if we move to if we move two feet in the X direction and so so acts should be two times 12. So two to the 24 we plug in two to the 24 in our calculator. We do see that this is in fact, approximately 17 times 10 to the six power that we have. This is true. This is true. And so for part B, Now we have this. Now we want our our height to reach two feet. So are why should be 24. So we have 24 is equal to log base two of X, long based two of X. So in this dysentery we have two to the 24 is equal to X. And so now now we have X is approximately 17 times 10 to the six power. So these are our solutions.

Amrita Bhasin · Answer

this question asked us to show that a distance of two feet from the right of the origin. The height is 48 feet, but the height of the graph of G is 265 miles. What we know is the AF of 24 is 24 squared, which is equivalent to 576 inches. No, 576 inches. We&#x27;re gonna be doing something called dimensional now. Is this what you should have learned in middle school? In order to convert to feet, cross off inches and inches do the multiplication and division. We got 48 feet. Not converting to Miles G of 24 is two to the power of 24 which you can use a calculator for this 16777 to one sex inches So 1677216 inches, again doing dimensional analysis again. Times one feet, divided by 12 inches, times one mile. Divide by 5 to 80 feet. Cross off the units that are equivalent. In other words, we&#x27;re crossing our feet and inches multiply and divide when we get G of 24 is 265 miles. Therefore, we have

Heather Zimmers · Answer

all right, So if we&#x27;re graphing these functions on agreed where one unit is one inch and we&#x27;ve gone over two feet to the right of the origin. That means we&#x27;ve gone over 24 inches to the right of the origin. We would be at X equals 24. So what we want to find is the height of the point F of 24 the height of the point G of 24 compare those heights. So let&#x27;s find F of 24 F of 24 would be 24 squared and 24 squared is 576. That would be 576 inches if we&#x27;re going by. One unit is one inch now 576 inches is equivalent to 48 feet. All right, now, let&#x27;s find out what G of 24 is, so that would be to raise to the 24 power. And for that we get 16 million 777,000 216 inches. Okay, let&#x27;s figure out how many feet that would be. We divide that by 12 and we get oh, about 1,398,000 feet. And if we want to know how many miles that is, we divide that by 5280 and we get about 265 miles approximately so. The point of that is to show us how much faster the exponential function grows compared to the polynomial function, the Y values get much, much bigger, and it doesn&#x27;t take very long for that to happen.

Problem

Compare the functions $f(x)=x^{0.1}$ and $g(x)=\l…

Problem 43 Medium Difficulty

Suppose that the graph of $y=\log _{2} x$ is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 $\mathrm{ft}$ ?

Answer

$x \approx 1084588$ miles

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$x \approx 1084588$ miles

Biocalculus Calculus for the Life Sciences

Catherine R.

Heather Z.

Caleb E.

Kristen K.

Precalculus Review - Intro

Functions on the Real Line - Overview

James StewartBiocalculus Calculus for the Life Sciences

Catherine R.

Heather Z.

Caleb E.

Kristen K.

James Stewart

Biocalculus Calculus for the Life Sciences