[21N]Prerequisites:[20W].Fixed \(πΌ {\gt}1\) we define, for \(xββ\), \(πΌ^ x\) as in [20W]. Show that this is a continuous function and that it is a homeomorphism between \(β\) and \((0,β)\). The inverse of \(y=πΌ^ x\) is the function logarithm \(x=\log _πΌ y\).
