logaritmai

Tommaapskaičiuokite

kai rasysiu logoritma pirmas skaicius - pagrindas.

1. 1 / (log 5 3) = (log 5 5) / (log 5 3) = log 3 5;

2. 1 / (log 125 3) = (log 5 5) / (log 5 3^1/3) = log 3^1/3 5 = 3log 3 5;

3. log 9 625 = log 3^2 5^4 = 4/2log 3 5 = 2log 3 5;

4. log 3 225 = 2log 3 15 = 2log 3 3 + 2log 3 5 = 2 + 2log 3 5;

5. log 3 5 + 3log 3 5 - 2log 3 5 - 2 - 2log 3 5 = -2.