Compare the graphs of the logarithmic functions [tex]f(x)=log_7(x)[/tex] and [tex]g(x)=log_4(x)[/tex]. For what values of [tex]x[/tex] is [tex]f=g[/tex], [tex]f\ \textgreater \ g[/tex], and [tex]f\ \textless \ g[/tex]? Explain how you know.

Respuesta :

check the picture below.

keeping in mind that, log(x) has a domain of x > 0, namely, it will never spit out a number that's 0 or negative, therefore, both graphs go down down and down ever closer and closer to x = 0, but never getting there, and while racing down, f(x) is above g(x), thus is higher.
Ver imagen jdoe0001