Let A and B be sets with |A| = 10 and |B| = 7. What can we say about |A ∪ B|? In particular, find two numbers x and y for which we can be sure that x ≤ |A ∪ B| ≤ y and then find specific sets A and B so that |A ∪ B| = x and another pair of sets so that |A ∪ B| = y.

lk; kjuiihijhniuhn

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

5 + 8 +7 + 4 + 0 +1 = 25

step-by-step explanation: