# Hard SAT Math Question 9 — Video Explanation | 1600.now

Source: https://1600.now/hard/9

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9

For the function $g$, each increase of $x$ by $\frac{1}{4}$ corresponds with an increase in $g(x)$ by a factor of $c$, where $c$ is a constant. Which of the following equivalent forms of $g$ shows the value of $c$ as a base or coefficient?

A

$g(x) = 8(65536)^{\frac{1}{4}x}$

B

$g(x) = 8(2)^{4x}$

C

$g(x) = \frac{1}{2}(16)(256)^{\frac{1}{2}x}$

D

$g(x) = \frac{1}{4}(32)(16)^x$