SAT Math Practice Question #25513 - SATify | SATify

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SAT Math Practice Question #25513 - SATify | SATify

#25513

algebra

logarithms

Change of Base

hard

120 sec

The set of all real numbers $x$ for which $lo g_{6} (lo g_{5} (lo g_{4} (lo g_{3} x)))$ is defined is $x ∣ x > c$ . What is the value of $c$ ?

A.

$3$

B.

$3^{4}$

C.

$4^{3}$

D.

$5^{4}$

E.

$6^{5^{4}}$