5log150-5log24+5log4=...

2

Pembahasan

Menggunakan sifat logaritma: log_b(x) - log_b(y) = log_b(x/y) dan log_b(x) + log_b(y) = log_b(xy).
5log150 - 5log24 + 5log4 = 5log(150/24) + 5log4
= 5log(150/24 * 4)
= 5log(6.25 * 4)
= 5log(25)
Karena 5^2 = 25, maka 5log25 = 2.
Jadi, 5log150 - 5log24 + 5log4 = 2.