SAT Math Practice Question #28177 - SATify | SATify

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SAT Math Practice Question #28177 - SATify | SATify

#28177

algebra

logarithms

Change of Base

hard

150 sec

What is the product of all the solutions to the equation $lo g_{5 x} 125 \cdot lo g_{25 x} 125 = lo g_{125 x} 125$ ?

A.

$(lo g_{125} 5 \cdot lo g_{125} 25)^{2}$

B.

$lo g_{125} 5 \cdot lo g_{125} 25$

C.

$1$

D.

$lo g_{5} 125 \cdot lo g_{25} 125$

E.

$(lo g_{5} 125 \cdot lo g_{25} 125)^{2}$