SAT Math Practice Question #29579 - SATify | SATify

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SAT Math Practice Question #29579 - SATify | SATify

#29579

algebra

logarithms

geometry

hard

150 sec

Square $A BC D$ has area 144, and $\overline{A B}$ is parallel to the x-axis. Vertices $A, B,$ and $C$ are on the graphs of $y = lo g_{a} x$ , $y = 2 lo g_{a} x$ , and $y = 4 lo g_{a} x$ , respectively. What is $a$ ?

A.

$32$

B.

$2$

C.

$2$

D.

$62$

E.

$34$