Question

find the inverse of a function f(x)=5^x

Answer 1

$f(x) = 5^x\\ \\let\ y=5^x\\take\ log\ on\ both\ sides\\ \\log_5\ y=log_5\ 5^x\\log_5\ y=x\\x=log_5\ y\\ \\replace\ y\ by\ x\ and\ x\ by\ y\\y=log_5\ x\\ \\inverse\ function\ is\ \boxed{f(x)=log_5\ x}$