Matematyka zad 10. Proszę niech ktoś to zrobi!

Odpowiedź:
10.
a) log₂64 = 6
b) log₃81 = 4
c) log₄1024 = 5
d) log₅125 = 3
d < b < c < a
a) log₂2√2 = log₂√(4 * 2) = log₂√2³ = log₂2³⁾² = 3/2 = 1,5
b) log₃9∛3 = log₃∛(9³ * 3) = log₃∛3⁷ = log₃3⁷⁾³ = 7/3 = 2 1/3
c) log₄32 = log₄2⁵ = 5/2 = 2 1/2
d) log₅0,04 = log₅(4/100) = log₅1/25 = log₅5⁻² = - 2
d < a < b < c