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Verified answer
³log 5 = a²log 3 = b
³log 2 = 1 / b
Dit : 6log 10....?
Pembahasan ⬇️⬇️⬇️
6log 10 = log 10 / log 6
6log 10 = ³log 10 / ³log 6
6log 10 = ³log (5 × 2) / ³log (3 × 2)
6log 10 = ³log 5 + ³log 2/³log 3 + ³log 2
6log 10 = ( a + 1/b ) / ( 1 + 1/b )
6log 10 = (ab + 1)/b / (b + 1)/b
6log 10 = ab + 1 / b + 1 ✔️
Jadi,
6log 10 = ( ab + 1 ) / ( b + 1 ) ✔️
Semoga bermanfaat.....
-Prisco