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manipulate - How to express Log[b,x] in traditional format in Epilog without changing to base e


I'm having difficulty understanding how to express text in Epilog that is dynamically updated using Log[b, x]. Mathematica changes this to base $e$, but I would like it to be Log[b, x] in traditional format with base $b$, and I can't seem to make it work. I'm guessing I need to break the $\log$ apart using boxes or something, but don't know how to make a subscript that is a dynamically updated b value. Any ideas?


Manipulate[
 Plot[{b^x, x, Log[b, x]}, {x, -10, 10}, 
  PlotRange -> {{-5, 5}, {-10, 10}}, PerformanceGoal -> "Quality", 
  ImageSize -> All, 
  Epilog -> {Text[b^x, {-3, 4}], Text[Log[b, x], {3, -5}]}, 
  GridLines -> {Range[-10, 10, 1], Range[-10, 10, 1]}, 
  GridLinesStyle -> Opacity[.04]], {{b, 2, "Choose a base"}, 0.01, 4}]



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