Answer:
A and B. See explanation
C. x=4
Step-by-step explanation:
A: Consider two functions [tex]y=2^x[/tex] and [tex]y=4^{x-2}.[/tex] The point of intersection of the graphs of these two functions is the solution of the system [tex]\left \{ {{y=2^x} \atop {y=4^{x-2}}} \right.[/tex]
When you are solving this system, you have to equate the right sides of these equations and get [tex]2^x=4^{x-2}.[/tex] So, the x-coordinate of the point of intersection is the solution of the equation [tex]2^x=4^{x-2}.[/tex]
B.
[tex]\begin{array}{ccccccc}x&-1&0&1&2&3&4\\2^x&\frac{1}{2}&1&2&4&8&16\end{array}[/tex]
[tex]\begin{array}{ccccccc}x&-1&0&1&2&3&4\\4^{x-2}&\frac{1}{64}&-\dfrac{1}{16}&\dfrac{1}{4}&1&4&16\end{array}[/tex]
C. Graphically, graphs intersect at point (4,16), so x=4 is the solution of the equation
