Suppose the population in a town has an average growth rate of 18% . If there are 15,500 people now living in town, in about how many years will the population grow to 30,000? Use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.

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Suppose the population in a town has an average growth rate of 18% . If there are 15,500 people now living in town, in about how many years will the population grow to 30,000? Use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.

Mathematics
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|dw:1440806804136:dw|
is that the equation you meant to put? its a squared?
um yeah you drew it right.

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Other answers:

okay. do you have any answer choices, or no? and did you attempt to solve it yet?
I do have choices, but I don't know how to solve it with steps. I don't want to just generate it from a calculator... I wanna know how to do it.
Do you want my options?
yes please :)
just to double check myself
a. 7 b. 4 c. 6 d. 5
okay, just a second please
okay
okay
The only real way possible is to solve using a calculator, but I will show you how the steps work
okay
first thing you will do is divide the 15500 from both sides so:|dw:1440807637374:dw|
good so far?
yeah it canceled out
okay, now is where your graphing calculator comes in. you must use the function (ln) to solve.
so \[\ln \left( 30000/15500 \right) = .66\]
understand so far?
I don't have a graphing calculator on me right now but I understand
okay good :) then you move on to the other side and use \[\ln (1.18) = .166\]
okay
so now you have \[.66 = .166x\]
guess what your next step is ;)
um solve for x?
so? how do you do that?
I would do 66/100 166/100 x so 2*3*11/2^2*5^2 2*83/2^3*5^3 x 330/83 which is like 3.975 ish
so my answer would be 4
... I think lol
whoah.... idk what you just did there... all you had to do was|dw:1440808526563:dw|
you got the answer, but whatever you did was super complicated
well that's how my book has others solved for x, but I mean I still got the answer. It makes sense to me
You way is simpler so I'll use that way too
sorry what it that number under the 1st . 66 ?
okay haha, yeah, whenever the equation is set up like that it is easiest to just divide both sides by the number with the variable. it instantly gives yoy your answer
just .166 ?
yes, .166 both sides are divided by the number with the variable attached to it
okay thank you so much for helping... you are the best!
okay :D glad I could be of assistance!!!

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