Question: Graph the functionf(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 thata^x=e^{x lna} . [Suggestion:

Graph the functionf(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 thata^x=e^{x lna} . [Suggestion: typey=5(0.5^{-x}){- 7 < x < 2}{0 < y < 7} in desmos, and then type its inverse function.]

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