Determine whether each statement is true or false.

(a) ln(a + b) = ln(a)ln(b) for all a,b > 0

(b) ln(a*b) = ln(a) + ln(b) for all a,b > 0

(c) ln(a + b) = ln(a) + ln(b) for all a,b > 0

(d) ln(a/b) = ln(a)/ln(b) for all a,b > 0

(e) ln(1/a) = -ln(a) for all a > 0

(f) ln(x⁴) = 4ln(x) for all x

(g) The domain of ln(x) +x211 consists of all real numbers except x =1