Mohon bantuannyaa.. Jika a^log(ab) = 1 dan a^logb2 = a-7, maka b-a = (A) 9 (B) 6 (C) 3 (D) -3 (E) -6
Matematika
unggarmadi
Pertanyaan
Mohon bantuannyaa.. Jika a^log(ab) = 1 dan a^logb2 = a-7, maka b-a =
(A) 9
(B) 6
(C) 3
(D) -3
(E) -6
(A) 9
(B) 6
(C) 3
(D) -3
(E) -6
1 Jawaban
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1. Jawaban Syahrudi
[tex]^alog(ab) = 1 \\ ^alog(a) +^alog(b) = 1 \\1 + ^alog(b) =1 \\^alog(b) = 0 \\ b = {a}^{0} = 1 \\ \\ ^alogb^2 = a-7 \\2. ^alog(b) = a - 7 \\ 2.0 = a - 7 \\ a - 7 = 0 \\ a = 7 \\ \\ maka \\ b-a =1 - 7 =- 6[/tex]