For the function $f$, for every increase of $2$ in $x$, $f(x)$ increa…

Source Texts

Text

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

x

f (x)

increases by a factor of

c

. Which equivalent form displays

c

as the base or coefficient?

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

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

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

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