[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln(s)~~ = ~~t\implies \log_e(s)~~ = ~~t\implies e^t~~ = ~~ s[/tex]