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211000000 = 1000000 * 0,9 ^ t

Como resolver isso?

 Jun 14, 2021
 #1
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1.  Divide both sides by 1000000 to get 211 = 0.9^t

 

2.  Take logs of both sides:   ln(211) = ln(0.9^t)        where ln is log to the base e (though you could use log to the base 10 if you prefer).

 

3.  Use a property of logs:  ln(211) = t*ln(0.9)

 

4.  Rearrange:   t = ln(211)/ln(0.9)

 

I'll leave you to evaluate (you can use the calculator on the Home page here).

 Jun 14, 2021

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