Question

qual o resultado da equação logarítmica log2 (3x-1)-log2(x+1)+log2 3

Answer 1

Resposta:

$log2 (3x-1)-log2(x+1)+log2 \ 3\\\\=3\log _{10}\left(2\right)x-\log _{10}\left(2\right)-\log _{10}\left(2\right)\left(x+1\right)+\log _{10}\left(23\right)\\\\=3\log _{10}\left(2\right)x-\log _{10}\left(2\right)-\log _{10}\left(2\right)x-\log _{10}\left(2\right)+\log _{10}\left(23\right)\\\\=2\log _{10}\left(2\right)x-2\log _{10}\left(2\right)+\log _{10}\left(23\right)$

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