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

Take the natural log of both sides to get $$\ln 2^x=\ln 1024$$ Since $\ln a^b=b \ln a$, the equation becomes $$x \ln 2 = \ln 1024$$ Divide both sides of the equation by $\ln 2$ to get $$x=\frac{\ln 1024}{\ln 2}=10$$ Therefore, the statement is true.