⁵log75-⁵log12-⁵log4+⁵log16

⁵log75-⁵log12-⁵log4+⁵log16 =
= ⁵log(5²×3) - ⁵log(2²×3) - ⁵log2² + ⁵log2^4
= ⁵log 5² + ⁵log3 - ⁵log2² - ⁵log3 - ⁵log2² + ⁵log2^4
=    2.1   + ⁵log3 - 2 ⁵log2 - ⁵log3 - 2 ⁵log2 + 4 ⁵log2
= 2

Kalau masih bingung ingat rumus log ya.
a log(xy) = a log x + a log y
a log x^n = n × a log x
a log a = 1
a log a^n = n×1 = n

Bab Logaritma
Matematika SMA Kelas X

5log 75 - 5log 12 - 5log 4 + 5log 16
= 5log (75 x 16 : 48)
= 5log 25
= 5log 5²
= 2