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Mathematics 9 Online
OpenStudy (anonymous):

solve 300e^.80

OpenStudy (anonymous):

i dont understand the e part

OpenStudy (anonymous):

e is just a number. It is 2.71828.................... It is the base of the natural logaritm ln. There should be a faility on your calculator to raise e to the power of x. Should be cake after that. Let me know if still stuck.

OpenStudy (anonymous):

what does the button on the calculator look like

OpenStudy (anonymous):

it should just be an \[e ^{x}\] it is probably a second function of the button for the natural log ln

OpenStudy (anonymous):

Find it?

OpenStudy (anonymous):

i think

OpenStudy (anonymous):

okay so i put in 300c^.80 and i get 240

OpenStudy (anonymous):

e*

OpenStudy (anonymous):

okay this is the problem I'm trying to do The number of milligrams of a drug that remains in a patient’s system after t hours is given by the function A(t) = Ie^rt. Don was given 300 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?

OpenStudy (anonymous):

so i plugged it in A(t) = l(300)e^r(.20)(4) .20(4) = .80 300e^.80 thats where I'm stuck i think I'm doing ti right

OpenStudy (anonymous):

so A is the amount of meds in system? Is that \[1e ^{rt}\]? what is r?

OpenStudy (anonymous):

the rate so it would be the 20% so .20

OpenStudy (anonymous):

I'm with you now.

OpenStudy (anonymous):

use that e^x button we were on about. \[e ^{0.80}\] then multiply by 300.

OpenStudy (anonymous):

and i got 240

OpenStudy (anonymous):

I got 668 mg(rounded off) I'll check again

OpenStudy (anonymous):

here is the multiple choice a-95.87 mg b- 12.52 mg c- 134.80 mg d- 31.63 mg

OpenStudy (anonymous):

reading the question again my answer is totally wrong. i'll have another look

OpenStudy (anonymous):

is the function dose x e to the power of r times t?

OpenStudy (anonymous):

yeah it would be e^.20(4)

OpenStudy (anonymous):

forget it maybe you can help me how to solve this problem 8^(y – 3) = 2^y

OpenStudy (anonymous):

\[e ^{0.8}= e ^{4/5} = \sqrt[5]{e ^{4}}\] We'll look at it this way and see do we have any joy.

OpenStudy (anonymous):

th

OpenStudy (anonymous):

i just guessed on it its okay

OpenStudy (anonymous):

It's bugging me now :-) \[300e ^{0.80}\]= 668 but he couldn't have more meds after 4 hrs than he did at the start. You might let me know was the function right or was I just making a silly mistake, When you find out like. Sorry I couldn't get it out.

OpenStudy (anonymous):

Yeah i will ill ask my teacher later (: it doesn't make any since to me haha

OpenStudy (anonymous):

Cool

OpenStudy (anonymous):

do you know how to do this equation 8^(y – 3) = 2^y

OpenStudy (anonymous):

What you need to do is get the 8 on the left the same as the 2 on the right ie 8 = 2^3. then..............

OpenStudy (anonymous):

you have\[(2^{3})^{(y-3)}\] do you have it from there or will I go on?

OpenStudy (anonymous):

um i don't even know how you got that o.0

OpenStudy (anonymous):

i got the 2^3 so then your take the stuff from the right side also

OpenStudy (anonymous):

eight is the same as two cubed so\[(8)^{(y-3)}=(2^{3})^{(y-3)}\]

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

do you have it from there? I had an answer worked through but I lost my connection and all the work. I'll do it again if you need it.

OpenStudy (anonymous):

i don't know how to do it

OpenStudy (anonymous):

Stay with me so

OpenStudy (anonymous):

i got how you made both sides = now what

OpenStudy (anonymous):

so the next step uses exponential laws to give \[(2^{3})^{(y-3)} = 2^{(3y-9)}\] can you see that?

OpenStudy (anonymous):

where do you get the 9 from

OpenStudy (anonymous):

omg i have to go pick up my little sister from school ill be back tho maybe you can put the steps down and when i come back on ill look through them

OpenStudy (anonymous):

3(2y-3) = 6y-9 (check out your exponential laws) Then we have\[2^{(3y-9)} = 2^{y}\] Are ya with me?

OpenStudy (anonymous):

Then you use log laws\[\log _{a}a=1\] So you get the log to the base 2 of both sides leaving you with 3y-9=y so 2y = 9 and y = 2/9 Is that the answer?

OpenStudy (anonymous):

the answers are either -4.5, 4.5, -1.5, or 1.5

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