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I've tried but I dont exactly know how to solve this. I don't know what the "e" means or how I find the years. Please show how to solve this because I don't understand. Thanks!!

 Sep 18, 2019
 #1
avatar+21827 
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 e = 2.7182818284590452    (see the 'e' on the calculator?)

 

So solve this for t (the years the question is asking )

 

11200 = 5600 e.059t         First divide both sides by 5600

2 = e.059t                       Now take the ln of both sides

.693147181= .059t         Now divide both sides by .059 to find t years = 11.78 years ~~ 12 years (rounded)

 Sep 18, 2019
 #2
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+2

Sorry for bothering. My teacher hasn't taught me this yet. Where did you get .693147181? What is the ln? Is it the same as the e?

Guest Sep 18, 2019
 #3
avatar+21827 
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ln is the natural logarithm function     ln (ex)  = x       the ln function should be on your computer/calculator to solve these type of questions

 

ln (2) = .693147181     for the left hand side of the equation

ln(e.059t) = .059t      for the right hand side of the equation

 Sep 18, 2019
 #4
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+2

Oh! Okay. Now it makes more sense. Sorry again. Thank you very much for helping.

Guest Sep 18, 2019
 #5
avatar+21827 
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You are welcome......   you will learn a lot about   ln   log    e    10x   on down the road.....    cheeky

ElectricPavlov  Sep 18, 2019

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