Solve for x. Round to the nearest hundredth.

ln(x) = -1.8
x =

x = e^(-1.8) = 0.16529 or 0.17

To solve for x in the equation ln(x) = -1.8, we need to use the inverse operation of the natural logarithm, which is the exponential function.

Step 1: Take the exponential of both sides of the equation:

e^(ln(x)) = e^(-1.8)

Step 2: Simplify the left side using the property that e^(ln(x)) = x:

x = e^(-1.8)

Step 3: Use a calculator to evaluate e^(-1.8) to find the approximate value of x.

e^(-1.8) ≈ 0.165298

Therefore, x ≈ 0.1653 (rounded to the nearest hundredth).