Question

Which of the following is the inverse of y=3x?

Answer 1

optin 2

Explanation:

swap x and y:

`y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = (log (x))/(log(3)) \\\\y = log_3(x)`
`[ using \ the\ rule :(\log _c\left(b\right))/(\log _c\left(a\right))=\log _a\left(b\right)]`