anonymous
  • anonymous
solve: (1.025)^12t = 3
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=%281.025%29%5E12t+%3D+3+solve+for+t
lgbasallote
  • lgbasallote
\[(1.025)^{12t} = 3\] first step take the log \[\Large \log_{1.025} (3) = 12t\] now divide by 12 to get t \[\large \frac{\log_{1.025} (3)}{12} = t\]
anonymous
  • anonymous
if i wanted to get an answer with decimals. would i go log(3/1.025) / 12 ?

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lgbasallote
  • lgbasallote
no that's different
lgbasallote
  • lgbasallote
just do that thing i said
lgbasallote
  • lgbasallote
otherwise you'll have to go \[\frac{\log 3}{12\log 1.025} = t\]
anonymous
  • anonymous
so i just leave it in the form you left it in as? log_1.025 (3) / 12 = t ... and i dont simplify it?
lgbasallote
  • lgbasallote
you use a calculator to simplify of course
anonymous
  • anonymous
im not sure how to plug it into my calculator
lgbasallote
  • lgbasallote
do \[\log 3 \div \log 1.025\] what do you get
anonymous
  • anonymous
44.492
lgbasallote
  • lgbasallote
now divide by 12
anonymous
  • anonymous
3.707
lgbasallote
  • lgbasallote
\[t \approx 3.71\]`
anonymous
  • anonymous
thanks!
lgbasallote
  • lgbasallote

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