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).