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anonymous
 5 years ago
solve for t: 17e^(0.07t)=11e^(0.05t)
I have so far gotten to this step: 17t ln(0.07)=tln(0.05)
anonymous
 5 years ago
solve for t: 17e^(0.07t)=11e^(0.05t) I have so far gotten to this step: 17t ln(0.07)=tln(0.05)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0divide by e^(0.05t) on both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and post what you get.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.017tln(0.07)tln(0.05)=11

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[e ^{x} / e ^{y} = e ^{xy}\]\[\ln{e^{xy}} = x  y\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how did you get to the step that you got to? what did you do to get 17t ln(0.07)=tln(0.05)? because that is incorrect.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I did this : 17e^(0.07t)/(e^(0.05t) = 11

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, thar part is right. what did you do after that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is it possible that you can take a picture of your notes and attach it here? that way it is much faster.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0according to the quotient rule u subtract?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.017tln(0.07)  tln(0.05)=11

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why did you do tln0.07tlon0.05? what rule is that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0idk. can u show me the next step. plz

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright so 17e^0.07t = 11e^0.05t Step 1: divide both sides by e^0.05t ...so you have (17e^0.07t)/(e^0.05t) = 11 Step 2: since e^x/y = e^xy ...you can make this 17e^(0.07t0.05t) =11 ...which equals???? 17e^0.02t = 11 Step 3: divide 17 out of there ...so e^0.02t = (11/17) step 4: take the natural log of both sides ...so ln e^0.02t = ln (11/17) step 5: e goes away now and you have 0.02t = ln (11/17) step 6: divide both sides by 0.02 so now it is t = (ln (11/17)/(0.02)) SO NOW..... t = 21.76590356 Check to see if this works in the original equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hold on let me work it out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yup it works. i understand now, i was not certain at first if u can use the e^x/y rule

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i understand the simplification

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i messed up in my steps by going too fast and said e^x/y = e^xy i meant to say (e^x) / (e^y) = e^xy but i think you already figured that out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the rule is e^x/e^y = e^(xy), not e^x/y = e^(xy)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yep...caught myself there :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yup. qoptient rules for natural logs right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol. no its the quotient rule for ALL fractions.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yep....now if you'll excuse me, i have to go make some natural logs of my own....;o

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0suprisingly im an engineering major

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0surprisingly, i earned a bachelor's in biochemistry....when i wasnt drunk...
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