Find the missing values. Then answer the questions to learn about some properties of logarithms.
Find the values of 2a-f.
a. a = log 18
b. b = log 71
c. c = a + b
d. d = antilog
c e. e = 18 · 71
f. f = log (18 · 71)?
g. Describe any patterns you see.
h. Complete the statement "log a + log b = ? "
i. The property you discovered is the product property of logarithms. Explain why this property works. (Hint: Name another mathematical situation in which you add when multiplying.)