SAT Math Practice Question #28175 - SATify | SATify

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SAT Math Practice Question #28175 - SATify | SATify

#28175

algebra

logarithms

Change of Base

hard

150 sec

What is the product of all the solutions to the equation $lo g_{4 x} 100 \cdot lo g_{25 x} 100 = lo g_{100 x} 100$ ?

A.

$(lo g_{100} 4 \cdot lo g_{100} 25)^{2}$

B.

$lo g_{100} 4 \cdot lo g_{100} 25$

C.

$1$

D.

$lo g_{4} 100 \cdot lo g_{25} 100$

E.

$(lo g_{4} 100 \cdot lo g_{25} 100)^{2}$