log a +log a2 +log a3+.......+log an=???
Matematika
Arga21
Pertanyaan
log a +log a2 +log a3+.......+log an=???
1 Jawaban
-
1. Jawaban dewa251202
log a + log a^2 + log a^3 + ... + log a^n
= log (a × a^2 × a^3 × ... × a^n)
= log (a^(1 + 2 + 3 + ... + n))
= log (a^(n(n + 1)/2))
= 1/2 × n(n + 1) log a