[Rg]Logaritmi Teorie

1
Matematic˘ aX - Algebr˘ a - Logaritmi 1. Condit ¸ii de existent ¸˘ a: Pentru log g(x) f (x) se pun conditiile: f (x) > 0, g(x) > si g(x) 6= 1. 2. log a 1 = 0. 3. log a a = 1. 4. log a (a f (x) )= f (x). 5. a logaf (x) = f (x). 6. log a (xy)= log a x + log a y. 7. log a ( x y )= log a x - log a y. 8. log a f n (x)= nlog a f (x). 9. log m a f n (x)= n m log m a f (x). 10. Formula de schimbare a bazei: log a x = log b x log b a . REMEMBER !! Every time you do this: log a (xy)= log a xlog a y log a ( x y )= logax logay A KITTEN DIES !!

description

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 !!