SAT Math Practice Question #28176 - SATify | SATify

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SAT Math Practice Question #28176 - SATify | SATify

#28176

algebra

logarithms

Change of Base

hard

150 sec

What is the product of all the solutions to the equation $lo g_{6 x} 216 \cdot lo g_{36 x} 216 = lo g_{216 x} 216$ ?

A.

$(lo g_{216} 6 \cdot lo g_{216} 36)^{2}$

B.

$lo g_{216} 6 \cdot lo g_{216} 36$

C.

$1$

D.

$lo g_{6} 216 \cdot lo g_{36} 216$

E.

$(lo g_{6} 216 \cdot lo g_{36} 216)^{2}$