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No, it is undefined and indeterminate.

Log base y of a variable x = N

y to the N power = x

if y ( base) = 0 then

0 to the N power = x which is always zero (or one in some cases) and ambiguous.

Say you want log base 0 of 50

0 to the N power = 50 cannot be true as 0 to the N is always zero

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