Question

Hitunglah nilai setiap bentuk
1. 5log 125
2. 3log 1/27

Answer 1

Eksponen -> a∧b = n
logaritma -> a log n = b
5log125 = 3, karena 5∧3 = 125
3log 1/27 = -3, karena 3∧-3 = 1/27

Answer 2

1. 5 log 125 = 5 log 5^3 = 3 (sifat logaritma a log a^n = n)
2. 3 log 1/27 =3 log 1 - 3 log 27
                   =  0 - 3 log 3^3 (sifat log a log 1 = 0)
                   = 0 - 3 = -3