diketahui log 2 = a, log 3 = b, log 5 = c, maka nilai log 2.250 = ?
Matematika
rua26
Pertanyaan
diketahui log 2 = a, log 3 = b, log 5 = c, maka nilai log 2.250 = ?
1 Jawaban
-
1. Jawaban yessyv
log 2.250 = log(15².10)
= log 15² + log 10
= 2 log 15 + log 10
= 2 (log(3.5)) + log(2.5)
= 2 (log 3 + log 5) + (log 2 + log 5)
= 2(b + c) + (a + c)
= 2b + 2c + a + c
= a + 2b + 3c