Question

given f(x)=5^x determine f^-1 (x)

Answer 1

\[f^{-1}(y)=log_5(x)\]

Answer 2

lol .... typoed myself while i was trying to be brilliant :)

Answer 3

wouldnt it be x=5^y use logs to solve for y

Answer 4

\[f^{-1}(y)=log_5(y)\]

Answer 5

the inverse is spose to go from y back to x ...

Answer 6

which is pretty much of a tautology since
\[\log_5(x)\] is defined as the inverse of
\[5^x\] so you have actually "found" nothing.

Answer 7

you say "find me the function that is the inverse of
\[5^x\] and i say
"here,
\[\log_5(x)\] is the inverse of
\[5^x\]