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soccergal12

  • 3 years ago

solve: (1.025)^12t = 3

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  1. mdttheory
    • 3 years ago
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    http://www.wolframalpha.com/input/?i=%281.025%29%5E12t+%3D+3+solve+for+t

  2. lgbasallote
    • 3 years ago
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    \[(1.025)^{12t} = 3\] first step take the log \[\Large \log_{1.025} (3) = 12t\] now divide by 12 to get t \[\large \frac{\log_{1.025} (3)}{12} = t\]

  3. soccergal12
    • 3 years ago
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    if i wanted to get an answer with decimals. would i go log(3/1.025) / 12 ?

  4. lgbasallote
    • 3 years ago
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    no that's different

  5. lgbasallote
    • 3 years ago
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    just do that thing i said

  6. lgbasallote
    • 3 years ago
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    otherwise you'll have to go \[\frac{\log 3}{12\log 1.025} = t\]

  7. soccergal12
    • 3 years ago
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    so i just leave it in the form you left it in as? log_1.025 (3) / 12 = t ... and i dont simplify it?

  8. lgbasallote
    • 3 years ago
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    you use a calculator to simplify of course

  9. soccergal12
    • 3 years ago
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    im not sure how to plug it into my calculator

  10. lgbasallote
    • 3 years ago
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    do \[\log 3 \div \log 1.025\] what do you get

  11. soccergal12
    • 3 years ago
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    44.492

  12. lgbasallote
    • 3 years ago
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    now divide by 12

  13. soccergal12
    • 3 years ago
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    3.707

  14. lgbasallote
    • 3 years ago
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    \[t \approx 3.71\]`

  15. soccergal12
    • 3 years ago
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    thanks!

  16. lgbasallote
    • 3 years ago
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    <tips imaginary hat>

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