A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Jake is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength Pascals.
anonymous
 one year ago
Jake is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength Pascals.

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x is the length, what is f(x)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in terms of the word problem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the strength in terms of the length

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, x = length, f(x) = strength

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so when they say `strength is 8 Pascals.` we can replace `f(x)` with `8`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now convert that to a log equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok:) is it log 2x =8?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I think you mean \[\Large \log_2(x) = 8\] right? you're close but not quite there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes! Something along those lines

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you'll use the rule \[\Large b^x = y \ \ \implies \ \ \log_b(y) = x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what about the 8 pascals?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how would you use that rule to rewrite \[\Large 2^x = 8\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Look at base b^x=y as if it were 2^x=8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now look at the log equation and replace each variable with the corresponding one.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah so b = 2 and y = 8

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what log equation do you have now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02^x = 8 means log(base 2) 8 = x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah \[\Large 2^x = 8\] turns into \[\Large \log_2(8) = x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much~~!!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what are your thoughts?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it's suppose to be 50^x. Sorry!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I would tell her to convert it. I dont know which formula to use now though

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you'd use the one I just posted. The rule going from exponential to log

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, \[\Large \log_{50}(17) = x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's it? It was that simple?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1here is a pic that has an alternate route http://ashikmdigitalportfolio.weebly.com/uploads/1/9/2/5/19253115/8805020_orig.jpg?146 either method gets the same answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can I ask one last question? Pleasee?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Shannon manages a small zoo and she has been analyzing the attendance data. Shannon finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 3x. Shannon also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 4. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it says `The graph of the two functions is below` where do the two functions cross?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh hold on! I can graph it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1where do the two functions cross?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does that point mean?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it's the solution to the system, yes but what does that solution mean in terms of the word problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The number of people who leave the park early due to the temperature?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1let's go back to each function one by one f(x) = 3^x what is x? what is f(x)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0umm the increase in temperature for f(x)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1for f(x) = 3^x x = temperature f(x) = number of visitors

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how about g(x) = x+4 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x=temperature or people leaving?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x looks like the change in temp

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm..is that when the temperature and # of people are equal?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so what I'm thinking is that when x = 1, the temperature change is 1 degree so as the temp increases by 1, the number of visitors is 3 (maybe 3 thousand or something) also, when x = 1, the number of people who leave early is 3 (thousand?) this problem is a bit odd

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know right? Ugh!!! So, would (1,3) mean that that's the temp. needed to have the most visitors?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1maybe it's when the temp change is +1, then the number of visitors equals the number of people who leave early

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what's strange is that I don't see how you can get more visitors growing forever if it's like 100+ degrees. If anything, the attendance would go down

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh! I didn't look at it that way! That is strange.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's a poorly worded question tbh

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i'm going to go with your answer :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks so much for all your help today!!! You're awesome :D
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.