True or False? In Exercise, determine whether the statement is true or false given that f (x) = In x. if it is false, explain why or given an example that shows it is false.

f (ax) = f (a) + f (x), a > 0, x > 0

True

Step-by-step explanation:

This is true for a>0 and x>0. We can prove it by plugging in a and x for f (x) = ln (x)

f (ax) = ln (ax) = ln (a) + ln (x)

We see that ln (a) + ln (x) is exactly f (a) + f (x)

Therefore, the statement above is true for any a>0 and x>0