Zadanie z logarytmów: Oblicz: log₂27/log₂18 - 1
Zadanie z logarytmów:
Oblicz:
log₂27/log₂18 - 1
log₂ 27 / (log₂ 18 - 1) = log₂3³ / (log₂(2*3²) - 1) = log₂3³ / (log₂2 + log₂3² - 1) = log₂3³ / (1 + log₂3² - 1) = log₂3³ / log₂3² = 3log₂3 / 2log₂3 = 3/2