Question

The number of solutions of ${\log }_2(x+5)=6-x$ is

• A. $2$
• B. $0$
• C. $3$
• D. none of these

Answer 1

The correct option is D none of these

Let $f\left(x\right)={\log }_2(x+5)$ and $g\left(x\right)=6-x$
From the figure:
$f\left(x\right)$ and $g\left(x\right)$ have only one point of intersection.
Therefore number solution of ${\log }_2(x+5)=6-x$ is 1.
Ans: D