Oblicz ŁUKASZ: log₅ 10 - log₅ 2√5 , log₆ 3^√3 + log₆ 12^√3 log₁₆ 0.25 , log_³√7 √7 , log_√5 125√5 , log_³√2 4√2

Bogdan: Wskazówki: log₅10 = log₅(2*5) = log₅2 + log₅5 = log₅2 + 1 log₅(2√5) = log₅2 + log₅5^1/2 = log₅2 + (1/2)log₅5 = log₅2 + 1/2 log₆3^√3 = √3log₆3 = √3log₆(6/2) = √3*log₆6 / log₆2 = √3 / log₆2 log₆12^√3 = √3log₆(6*2) = √3*(log₆6 + log₆2) = √3*(1 + log₆2) itd.