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$e^{w} = 960,464.9826$ $w = $

Question

$e^{w} = 960,464.9826$
$w = $

Explanation:

Step1: Apply natural log to both sides

Take the natural logarithm of each side to isolate $w$, since $\ln(e^x)=x$.
$\ln(e^w) = \ln(960464.9826)$

Step2: Simplify and calculate

Simplify the left side, then compute the right side.
$w = \ln(960464.9826)$

Answer:

$13.775$ (rounded to three decimal places; exact calculated value is approximately $13.77500001$)