PHP

laravel log permission denied

sudo chmod -R 775 storage
sudo chmod -R ugo+rw storage

laravel permission denied storage log

chmod -R 775 storage

mkdir() permission denied laravel

sudo chmod -R 755 public

laravel file permission denied

Could be that although you have 755/777 permissions, SELinux is blocking httpd from writing/creating dirs.:
chcon -R -t httpd_sys_content_t /var/www/html
sudo chcon -R -t httpd_sys_rw_content_t /var/www/mrr/public/textpipe
  
sudo chgrp apache -R /var/www/html/files
chmod g+s .