log3 x<-1

To solve the inequality log₃ x < -1, we start by writing it in exponential form. Remember that logₐ b = c can be rewritten as a^c = b.

So, log₃ x < -1 becomes:

3^(-1) < x

Now simplify the left side of the inequality:

1/3 < x

So, the solution to the inequality log₃ x < -1 is x > 1/3.