Diketahui 2 log3 = a dan 3 log5 = b . Berapakah nilai 25 log81 x 2 log 25 ?
Matematika
damanz
Pertanyaan
Diketahui 2 log3 = a dan 3 log5 = b . Berapakah nilai 25 log81 x 2 log 25 ?
1 Jawaban
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1. Jawaban tari333
2log3 = a
3log5 = b
2log3×3log5 = ab
2log5 = ab
25log81 × 2log25
5^2log3^4 × 2log5^2
4
-- 5log3 × 2 2log5
2
2 5log3 × 2 2log5
1
2 --- × 2 ab
b
2 2 ab^2
--- × -----------
b b