Let f(x)= log{3}(x) and g(x)=3^x. What is the value of f(g(f(f(f(g(27))))))?
Thank you
just work outwards
g(27) = 3^27
\(f [g(27)] = f ( 3^{27} ) = log_3(3^{27})=27log_33=27\\ etc\)