when you have something like say log, no base given, like log₃ or log₆ or log₉, then the base 10 is implied, so a "bare" log, really means log₁₀
anyway... so then
[tex]\bf log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y \\\\
-------------------------------\\\\
log(300)=a\implies log_{10}(300)=a\impliedby
\begin{array}{llll}
\textit{what is the exponent, 10}\\
\textit{needs, to be 300? is "a"}
\end{array}
\\\\\\
10^a=300[/tex]
