Question

The absolute value of sum of real solutions of ${\log }_2\left|x^2+5x+4\right|={\log }_{2}3+{\log }_2|x+1|$ is

• A. 8
• B. 6
• C. 7
• D. 5

Answer 1

Answer: (C)

${\log }_2\frac{|(x+1)(x+4)|}{|x+1|}={\log }_{2}3$
$|x+4|=3$
$x+4=-3,+3$
$x=-7,-1\text{ (rejected) }$
$\Rightarrow x=-7$