Answer:
[tex]$ x = 1$[/tex] or [tex]$ x = 2 $[/tex]
Step-by-step explanation:
Given:
[tex]$ f(x) = 2x \hspace{5mm} \& \hspace{5mm} g(x) = 2^x $[/tex]
We are to find the values of [tex]$ x $[/tex] such that these two functions are equal.
Substitute [tex]$ x = 1 $[/tex].
We get [tex]$ f(x) = 2(1) = 2 \hspace{5mm} \& \hspace{5mm} g(x) = 2^{(1)} = 2$[/tex]
Hence for [tex]$ x = 1 $[/tex] we have the functions to be equal.
Now for [tex]$ x = 2 $[/tex]
[tex]$ f(2) = 2(2) = 4 \hspace{5mm} \& \hspace{5mm} g(2) = 2^{(2)} = 4 $[/tex]
We see the functions are once again equal.
