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