Question

Sabendo que colog b x = – log b x e que log b 3b = x, calcule colog b 3

a) x – 1
b) – x – 1
c) 1 – x
d) 3x
e) – 3x

Answer 1

Vamos lá:

$log_b 3b = x \\\\ log_b 3b = log_b 3 + log_b b \\\\ log_b 3b = log_b 3 + 1 \\\\ log_b 3 + 1 = x \\\\ log_b 3 = x - 1 \\\\ - log_b 3 = 1 - x \\\\ colog_b 3 = - log_b 3 \\\\ colog_b 3 = 1 - x$

Alternativa C

Espero ter ajudado.