well.. .not exactly what you're asking, but the relationship of them is
[tex] {
log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y
}[/tex]
so... hmm to add some
for example let's say [tex]if\ 5^3=125\textit{ that can be written also as}
\\ \quad \\
log_5(125)=3[/tex]
