2 log 2+ 2 log 20 - 2 log 200 - 2 log 2000

[Rangel.gec]

2 log 2+ 2 log 20 - 2 log 200 - 2 log 2000

Alguem pode me ajudar... pfv

[professorhelio]

2 log 2+ 2 log 20 - 2 log 200 - 2 log 2000

Alguem pode me ajudar... pfv

log 4 + log 400 - (log 40000 + log 4000000)
log 1600 - log 160000000000
log (1600/16000000000)
log (1/100000000) = -8

[jorgeluis]

2 log 2+ 2 log 20 - 2 log 200 - 2 log 2000 =

2.(log 2 + log 2x10 - log 2x10² - log 2x10³) =

2.[log 2 + (log 2 + log 10) - (log 2 + 2.log 10) - (log 2 + 3.log 10)] =

2.[log 2 + (log 2 + 1) - (log 2 + 2) - (log 2 + 3)] =

2.[log 2 + log 2 + 1 - log 2 - 2 - log 2 - 3] =

2.[log 2 + log 2 - log 2 - log 2 - 4] =

2.[2.log 2 - 2.log 2 - 4] =

2. -4 = -8