Graph of Log Function When Base a a>1

Q. The number of solution(s) of $|y|=(x-1)$ and $|y|=e^{x-2}$ is

1. $0$
2. $2$
3. $4$
4. $1$

Q. The number of solutions of $3^{|x|}(|2-|x||)=1$ is

1. $2$
2. $6$
3. $4$
4. $8$

Q. The number of solutions of $3^{|x|}(|2-|x||)=1$ is

1. $2$
2. $6$
3. $4$
4. $8$

Q. The number of solutions of $3^{|x|}(|2-|x||)=1$ is

1. $2$
2. $6$
3. $4$
4. $8$