Jika log 3 = a dan log 5= b. Tentukan nilai A. Log 75 B. Log 1500
Matematika
gabriellatalahatu
Pertanyaan
Jika log 3 = a dan log 5= b.
Tentukan nilai
A. Log 75
B. Log 1500
Tentukan nilai
A. Log 75
B. Log 1500
2 Jawaban
-
1. Jawaban AdJulian
[tex]a. log(75) \\ = log(3 \times {5}^{2} ) \\ = log(3 ) + 2 \: \log(5) \\ = a + 2b[/tex]
[tex]b. \: log(1500) \\ = log(3 \times 5 \times 100) \\ = log(3) + log(5 ) + log( {10}^{2} ) \\ = a + b + 2[/tex] -
2. Jawaban Rere8595
A. Log 75 = log 5^2 . 3
= 2 log 5 + log 3
= 2 + b + a
B. Log 1500 = 3 . 5 . 10^2
= log 3 + log 5 + 2 log 10
= a+ b+2
Semoga Bermanfaat SlmRe