[Rg]Logaritmi Teorie

Post on 20-Sep-2015

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teorie logaritmi

Transcript of [Rg]Logaritmi Teorie

  • Matematica X - Algebra - Logaritmi

    1. Conditii de existenta:Pentru logg(x)f(x) se pun conditiile: f(x) > 0, g(x) > 0 si g(x) 6= 1.

    2. loga1 = 0.

    3. logaa = 1.

    4. loga(af(x)) = f(x).

    5. alogaf(x) = f(x).

    6. loga(xy) = logax + logay.

    7. loga(xy) = logax logay.

    8. logafn(x) = nlogaf(x).

    9. logma fn(x) = nmlogma f(x).

    10. Formula de schimbare a bazei: logax =logbxlogba

    .

    REMEMBER !!

    Every time you do this:loga(xy) = logaxlogay

    loga(xy) = logax

    logay

    A KITTEN DIES !!