Mohon bantuannya kk lagi gabut aja ni hehe.[tex] 81^{a-b} . 45^{a+b} = \sqrt{135} \ maka \ nilai \ 7a - b = ...[/tex] Jika
Matematika
RahmatDarmaraga
Pertanyaan
Mohon bantuannya kk lagi gabut aja ni hehe.[tex] 81^{a-b} . 45^{a+b} = \sqrt{135} \ maka \ nilai \ 7a - b = ...[/tex]
Jika
Jika
1 Jawaban
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1. Jawaban arsetpopeye
81^(a - b) . 45^(a + b) = √135
(3^4)^(a - b) . (3^2 . 5)^(a + b) = (135)^1/2
3^(4a - 4b) . 3^(2a + 2b) . 5^(a + b) = (3^3 . 5)^1/2
3^(4a - 4b + 2a + 2b) . 5^(a + b) = 3^(3/2) . 5^(1/2)
3^(6a - 2b) . 5^(a + b) = 3^(3/2) . 5^(1/2)
Jadi
6a - 2b = 3/2
a + b = 1/2
------------------- +
7a - b = 2
Ket : ^ = pangkat