Question

Solve for x:

log₃ x = –2

Answer 1

Given: log₃ x = –2

Step-wise calculation:

1. Convert to exponential form:

x = 3^–2

2. Evaluate the power:

`3^(-2) = 1/3^2`

`3^(-2) = 1/9`

⇒ `x = 1/9`