Fitting Exponential Models to Data · Exercise 29

Use this scenario: The population $P$ of an endangered species habitat for wolves is modeled by the function $P\left(x\right)=\frac{558}{1+54.8e^{-0.462x}},$ where $x$ is given in years.

How many years will it take before there are $100$ wolves in the habitat?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §6.8 Fitting Exponential Models to Data · Exercise 29