A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
If R is the percent of maximum response and x is the dose in mg, the doseresponse curve for a drug is given by R=100/1+100e^0.1x
What dose to the nearest integer corresponds to a response of 50% of the maximum
anonymous
 5 years ago
If R is the percent of maximum response and x is the dose in mg, the doseresponse curve for a drug is given by R=100/1+100e^0.1x What dose to the nearest integer corresponds to a response of 50% of the maximum

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0R is the percent of maximum response, and you're asked to find the dose (to nearest integer) where that percent is 50%. Since you're asked to find x, it's best to solve for it first, then put your numbers in. So\[R=\frac{100}{1+100e^{0.1x}} \rightarrow R(1+100e^{0.1x})=100\]i.e.\[100e^{0.1x}=\frac{100}{R}1 \rightarrow e^{0.1x}=\frac{1}{R}\frac{1}{100}\]Now take the natural logarithm of both sides, so that\[\ln e^{0.1x}=\ln (\frac{1}{R}\frac{1}{100}) \rightarrow 0.1x=\ln (\frac{1}{R}\frac{1}{100})\]and dividing by 0.1,\[x=10\ln (\frac{1}{R}\frac{1}{100})\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol...wait, I've stuffed it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are you sure thats right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, I'm checking, but I'm juggling a few things atm

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can I ask, is your equation right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lokisan can u help me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you solve that thing for x, you get a complex logarithm.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'll see if I can help, imrickjames.
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.