Question

$\ln(w)=8.2219$
$w=$

Explanation:

Step1: Exponentiate both sides with base $e$

To undo the natural logarithm, apply the exponential function to both sides of the equation.
$$e^{\ln(w)} = e^{8.2219}$$

Step2: Simplify left-hand side

Using the property $e^{\ln(x)} = x$, the left-hand side simplifies to $w$.
$$w = e^{8.2219}$$

Step3: Calculate the exponential value

Compute the value of $e^{8.2219}$ using a calculator.
$$w \approx 3740.0$$

Answer:

$3740.0$ (or approximately $3740$; more precisely, $e^{8.2219}\approx3740$)