log100+2log10-3log1000=

Log 100 + log 10^2 - log 1000^3
Log 100x100/1000.000
Log 1/100
= - 2

Kelas : X SMA
Mapel : Matematika Wajib
Bab : Eksponen dan Logaritma
Indikator : Sifat - Sifat Logaritma

Langkah Penyelesaian dan Jawaban :
log a + log b = log ab
log a - log b = log (a/b)
log aⁿ = n log a
ᵃlog a = 1

log 100 + 2 log 10 - 3 log 1000  
= log 10² + log 10² - log (10³)³
= log 10² + log 10² - log 10⁹
= log (10² × 10²  ÷ 10⁹)
= log (10⁴ ÷ 10⁹)
= log 10⁻⁵
= - 5 log 10
= - 5