Arrange the equations from least to greatest

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x

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?