jika log 3 = 0.477 dan log 5=0.699. maka,log 22,5 adalah?
Matematika
ulynurma6301
Pertanyaan
jika log 3 = 0.477 dan log 5=0.699. maka,log 22,5 adalah?
2 Jawaban
-
1. Jawaban Alekhine
Log22,5 = log (5x4,5)
= log 5 + log 4,5
= log 5 + log (45/10)
= log 5 + (log45-log10)
= log 5 + log 45 - 1
= log 5 + ( log(9x5) ) - 1
= log 5 + ( log 9 + log 5 ) - 1
= 2.log5 + log 3² - 1
= 2 log 5 + 2.log 3 - 1
= 2. 0,699 + 2.0,477 - 1
= 1,398 + 0,954 - 1
= 1,352
Semoga bermanfaat -
2. Jawaban Sutr1sn0
log 3 = 0,477
log 5 = 0,699
log 22,5 = ....??
log 22,5 = log (225/10)
log 22,5 = log ((5 × 5 × 3 × 3)/10)
log 22,5 = log ((5^2 × 3^2)/10)
log 22,5 = log 5^2 + log 3^2 - log 10
log 22,5 = 2 log 5 + 2 log 3 - log 10
log 22,5 = 2(0,699) + 2(0,477) - 1
log 22,5 = 1,398 + 0,954 - 1
log 22,5 = 2,352 - 1
log 22,5 = 1,352