Question

Resolva a equação: log2(x + 5) + log212 = 3.

Answer 1

a)
$\log_2 (x+5)+\log_2 12=3$

$\log_2 12(x+5)=3$

$2^3=12(x+5) \\ 8=12x+60 \\ -12x=60-8 \\ -12x=52 \\ 12x=-52$

$x=- \frac{52}{12} =- \frac{13}{3}$

S={ $- \frac{13}{3}$ }