[tex]\bf \textit{exponential form of a logarithm}
\\\\
log_a b=y \implies a^y= b\qquad\qquad
% exponential notation 2nd form
a^y= b\implies log_a b=y
\\\\
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\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\stackrel{5^1}{5}&1\\
\stackrel{5^2}{25}&2\\
\stackrel{5^3}{125}&3
\end{array}\implies x=5^{f(x)}\implies log_5(x)=f(x)[/tex]
