SAT Math Practice Question #29580 - SATify | SATify

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SAT Math Practice Question #29580 - SATify | SATify

#29580

algebra

logarithms

geometry

hard

150 sec

Square $A BC D$ has area 36, and $\overline{A B}$ is parallel to the y-axis. Vertices $A, B,$ and $C$ are on the graphs of $x = lo g_{a} y$ , $x = 2 lo g_{a} y$ , and $x = 3 lo g_{a} y$ , respectively. What is $a$ ?

A.

$63$

B.

$3$

C.

$36$

D.

$6$

E.

$6$