question

$\quad log(\infty)\\=log(\infty ^{\infty}) \space<--\color{red}\space Note\space that\space infinity\space to\space the\space power\space of\space infinity\space still\space equals\space infinity\space \\\color{red}because\space infinity\space is\space the\space biggest\space number.....\\= \infty \times log({\infty})\\ = \infty\\ \color{red}(It\space is \space because\space everything\space times\space infinity\space equals\space infinity)$