C3 Natural Logs

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  1. Sora's Avatar
    • Exalted Member
    • Location: Northampton
    • Posts: 251
    C3 Natural Logs
    I am trying to teach myself some of the C3 syllabus for when I go back to start year 13 on the 18th June but I got stuck on this question.

    Make P the subject of:

    

ln P = -0.02t

    Thanks,
    Sora
  2. TenOfThem's Avatar
    • TSR Royalty
    Re: C3 Natural Logs
    ln is the opposite of e^

    P = e^{-0.02t}
  3. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C3 Natural Logs
    (Original post by Sora)
    I am trying to teach myself some of the C3 syllabus for when I go back to start year 13 on the 18th June but I got stuck on this question.

    Make P the subject of:

    

ln P = -0.02t

    Thanks,
    Sora
    Remember,  \ln x = y \implies e^y = x
  4. Hasufel's Avatar
    • Exalted and Worshipped Member
    • Posts: 990
    Re: C3 Natural Logs
    exponentiate both sides, so you get: Exp[LnP] = Exp[-.02t] becomes:

    P = Exp[-.02t], since the exponential of a log of something is that something (because the function of an inverse of x is just x)
  5. Sora's Avatar
    • Exalted Member
    • Location: Northampton
    • Posts: 251
    Re: C3 Natural Logs
    My book gives the answer:
    P = 25e^(-0.02t)

    I did what was suggested above and got the answer you gave, but then I went to check and saw this.
  6. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C3 Natural Logs
    (Original post by Sora)
    My book gives the answer:
    P = 25e^(-0.02t)

    I did what was suggested above and got the answer you gave, but then I went to check and saw this.
    The book is wrong. The correct answer has been given by TenOfThem.
  7. Sora's Avatar
    • Exalted Member
    • Location: Northampton
    • Posts: 251
    Re: C3 Natural Logs
    (Original post by raheem94)
    The book is wrong. The correct answer has been given by TenOfThem.
    Thank you
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