Suppose that In 2=a and In 11=b. Use properties of logarithms to write the logarithm in terms of a and b. In 3 square root 22.

Answer 1

a = ln2 ---> 2 = e^a
b = ln11 ---> 11 = e^b

ln(3√22)
= ln3 + (1/2)ln22
= ln3 + (1/2)(ln11 + ln2)
= ln3 + (b+a)/2

are you sure you typed it correctly?
I suspect we were asked for ln (2√22)