Given loga(m) = 10 and loga(n) = 25, find loga(mn2)

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

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Which of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c