Question

$\ln(z) = 8.812$
$z = $

Explanation:

Step1: Apply exponential to both sides

To undo the natural logarithm, take the exponential (base $e$) of both sides of the equation:
$$e^{\ln(z)} = e^{8.812}$$

Step2: Simplify left-hand side

Using the identity $e^{\ln(x)} = x$, simplify the left side:
$$z = e^{8.812}$$

Step3: Calculate the value

Compute the exponential value:
$$z \approx e^{8.812} \approx 6703.93$$

Answer:

$z \approx 6703.93$ (or exactly $e^{8.812}$)