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Math·Advanced Math·Nonlinear functions

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$x$	$y$
1	16
2	28
3	$a$

The table shows three values of x and their corresponding values of y for the equation $y=6(2{)}^x+4$. In the table, $a$ is a constant. What is the value of $a$?

A

$40$

B

$18$

C

$52$

D

$100$