Answer: x
Given:
[tex]f(x)=\log _8(x)[/tex][tex]g(x)=8^x[/tex]Let us find the composite of f(g(x))
[tex]f(g(x))=\log _8(8^x)[/tex]*Applying the log rule:
[tex]\log _a(x^b)=b\log _a(x)[/tex][tex]f(g(x))=x\log _8(8)[/tex]*Applying the rule:
[tex]\log _a(a)=1[/tex][tex]f(g(x))=x(1)[/tex][tex]f(g(x))=x[/tex]The composite of f(g(x)) = x
