h(x) = 3^x

Question

How would you go about solving this question: Solve the equation h-1(x) = 2

Thanks in advance!

Answer 1

You want to find g(x) = h^-1(x)
switch variables and solve for g
x = 3^g
log₃x = g
so, h^-1(x) = log₃x

^ and log are inverse operators, just like + and - or * and /