log3(x) = −2

To solve the equation log3(x) = -2, you need to convert the logarithmic equation into an exponential equation.

The general form of a logarithmic equation is logb(x) = y, which can be converted into an exponential equation: b^y = x.

Applying this to your equation, we get:

3^-2 = x

Now, calculate the value of 3^-2:

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

So, the solution to the equation log3(x) = -2 is x = 1/9.