[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 \\\\
-------------------------------\\\\
e^a=47.38\implies log_e(47.38)=a\implies ln(47.38)=a[/tex]
