Question: Graph the function f(x)=5(o.5)^{-x}and its reflection about the line y=x on the same axis, and give the x-intercept of the reflection. Prove that a^x=e^{x lna}.

Graph the function f(x)=5(o.5)^{-x}and its reflection about the line y=x on the same axis, and give the x-intercept of the reflection. Prove that a^x=e^{x lna}. [Suggestion: type y=5(0.5^{-x}) {- 7 < x < 2}{0 < y < 7} in the desmos graphing calculator, and then type its inverse function.]

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