## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$w\approx1.246$
Divide both sides by $17$ to get $$\frac{48}{17}=2.3^w$$ Next, take the natural log of both sides to get $$\ln \frac{48}{17}=\ln 2.3^w$$ Since $\ln a^b=b \ln a$, this equation simplifies to $$\ln \frac{48}{17}=w \ln 2.3$$ Divide both sides by $\ln 2.3$ to get a solution of $$w=\frac{\ln \frac{48}{17}}{\ln 2.3}\approx1.246$$