Question

³ log² 27 - ³log 3 : ³ log √27 - ³ log √3 adalah...
a. 10
b. 8
c. 5
d. 4
e. 2
Pake caranya...

Answer 1

Verified answer

Kelas 10 Matematika
Bab Logaritma

^ = pangkat

(^3log² 27 - ^3log 3)/(^3log √27 - ^3log √3)
= ((^3log 27)² - 1)/(^3log 27^(1/2) - ^3log 3^(1/2))
= ((^3log 3^3)² - 1)/( 1/2 . ^3log 3^3 - 1/2 . ^3log 3)
= ((3 . ^3log 3)² - 1)/(3/2 . ^3log 3 - 1/2)
= (3² - 1)/(3/2 - 1/2)
= (9 - 1)/(2/2)
= 8

✩✩ B ✩✩