There is no such file open mode as "wr" in your code:
fopen("logs.txt", "wr")
The file open modes in PHP http://php.net/manual/en/function.fopen.php is the same as in C: http://www.cplusplus.com/reference/cstdio/fopen/
There are the following main open modes "r" for read, "w" for write and "a" for append, and you cannot combine them. You can add other modifiers like "+" for update, "b" for binary. The new C standard adds a new standard subspecifier ("x"), supported by PHP, that can be appended to any "w" specifier (to form "wx", "wbx", "w+x" or "w+bx"/"wb+x"). This subspecifier forces the function to fail if the file exists, instead of overwriting it.
Besides that, in PHP 5.2.6, the 'c' main open mode was added. You cannot combine 'c' with 'a', 'r', 'w'. The 'c' opens the file for writing only. If the file does not exist, it is created. If it exists, it is neither truncated (as opposed to 'w'), nor the call to this function fails (as is the case with 'x'). 'c+' Open the file for reading and writing; otherwise it has the same behavior as 'c'.
Additionally, and in PHP 7.1.2 the 'e' option was added that can be combined with other modes. It set close-on-exec flag on the opened file descriptor. Only available in PHP compiled on POSIX.1-2008 conform systems.
So, for the task as you have described it, the best file open mode would be 'a'. It opens the file for writing only. It places the file pointer at the end of the file. If the file does not exist, it attempts to create it. In this mode, fseek() has no effect, writes are always appended.
Here is what you need, as has been already pointed out above:
fopen("logs.txt", "a")