Question

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

Answer 1

Answer:

optin 2

Step-by-step explanation:

swap x and y:

$y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = \frac{log (x)}{log(3)} \\\\y = log_3(x)$      $[ using \ the\ rule :\frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)]$