Question

Oblicz:

log_{5}

z gory dzieki

Answer 1

log₅ ( 5 do potęgi 1/2 * 5³)= log₅ 5³½ (5 do potęgi 7/2)

 

5do potęgi c=5 do potęgi 7/2

c=7/2

Answer 2

log5(log5(sqrt(5)))+log5(125)=log5(log5(sqrt(5))*125)=log5(log5(5^(1/2))*125)=log5(1/2*125)=log5(125/2)=log5(125)-log5(2)=3-log5(2)

 

log5(sqrt(5))+log5(125)=log5(5^(1/2))+log5(5^3)=1/2+3=3.5