Examples for Section 6.4* of Stewart’s Calculus (7th Ed. Hybrid)

Familes of Exponential graphs

Graph y=(a^x) for various values of a>0, and compare versus graph of y=(e^x)

Manipulate[Plot[{E^x,a^x},{x,-5,5},PlotRange->{0,10}],{{a,E},0,10}]

Families of Logarithm graphs

Graph y=(Subscript[log, a])(x) for various values of a>0 and compare versus the graph of y=ln(x).

Manipulate[Plot[{Log[a,x],Log[x]},{x,0,10},PlotRange->{-3,3}],{{a,E},0,10}]