I do not know what this notation means.
Do you mean ?
$${{log}}_{{\mathtt{100}}}{\left({\mathtt{0.16}}\right)} = -{\mathtt{0.397\: \!940\: \!008\: \!672\: \!037\: \!6}}$$
$${{log}}_{{\mathtt{0.16}}}{\left({\mathtt{100}}\right)} = -{\mathtt{2.512\: \!941\: \!594\: \!732\: \!06}}$$
$${log}_{10}\left({\frac{{\mathtt{0.16}}}{{\mathtt{100}}}}\right) = -{\mathtt{2.795\: \!880\: \!017\: \!344\: \!075}}$$
I am sorry, i do not know what you want.