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Math·Advanced Math·Nonlinear functions

hard

The function $f$ is defined by $f(x)=26(4,096{)}^{x/2}$, where $4,096=2^{12}$. This function can be rewritten in several equivalent exponential forms.

For the function $f$, for every increase of $2$ in $x$, $f(x)$ increases by a factor of $c$. Which equivalent form displays $c$ as the base or coefficient?

A

$f(x)=26(2{)}^{6x}$

B

$f(x)=26(8{)}^{2x}$

C

$f(x)=26(64{)}^x$

D

$f(x)=26(4,096{)}^{x/2}$