An alternative form is
\( \\[15pt]
{g(x)=ln_{N_a}((a)\^\^{x})=a^{{x}}} \)
then
\( \\[15pt]
{f^{\circ n}\{g(a)\}=\,^{n}a} \)
also:
\( \\[25pt]
{
ln_{N_m}(
{(m)\^\^{\,^nm }}
) \,=\, {^{n+2}m} \)
\( \\[15pt]
{g(x)=ln_{N_a}((a)\^\^{x})=a^{{x}}} \)
then
\( \\[15pt]
{f^{\circ n}\{g(a)\}=\,^{n}a} \)
also:
\( \\[25pt]
{
ln_{N_m}(
{(m)\^\^{\,^nm }}
) \,=\, {^{n+2}m} \)