Question

Wykaż, że: a) log₅ 50 = 2 + log₅ 2 b) log₃ 15 = 1 +log₃ 5 c) log₄ 6 + log₄ 8 = 2 + log₄ 3 d) log½ 5 - 1 = log½ 10

Answer 1

def logarytmu

loga b = c  -->  a^c=b

 

 a) log₅ 50 = 2 + log₅ 2

P=log₅25+log₅2=log₅[25*2]=log₅50

L=P

b) log₃ 15 = 1 +log₃ 5

P=log₃3+log₃5=log₃[3*5]=log₃15

L=P

c) log₄ 6 + log₄ 8 = 2 + log₄ 3

L=log₄[6*8]=log₄48

P=log₄16+log₄3=log₄[16*3]=log₄48

L=P

d) log½ 5 - 1 = log½ 10

L=log½ 5-log½ 1/2=log½[5:1/2]=log½[5*2/1]=log½10

L=P