diff --git a/annotated_logger/__init__.py b/annotated_logger/__init__.py
index be63003..e7de1c3 100644
--- a/annotated_logger/__init__.py
+++ b/annotated_logger/__init__.py
@@ -33,7 +33,7 @@
 # https://test.pypi.org/project/annotated-logger/
 # The dev versions in testpypi can then be pulled in to whatever project needed
 # the new feature.
-VERSION = "1.3.5"  # pragma: no mutate
+VERSION = "1.3.6"  # pragma: no mutate
 
 T = TypeVar("T")
 P = ParamSpec("P")
@@ -836,7 +836,10 @@ def inject_logger(
                 )
                 return (args, kwargs, logger, None)
 
-            by_index = False  # pragma: no mutate
+            by_index = (
+                written_signature.parameters["annotated_logger"].kind
+                == inspect.Parameter.POSITIONAL_ONLY
+            )
             # Check for a var positional or positional only
             # If present that means we'll have values in args when invoking
             # but, if not everything will be in kwargs
diff --git a/test/test_decorator.py b/test/test_decorator.py
index 492c343..9407b60 100644
--- a/test/test_decorator.py
+++ b/test/test_decorator.py
@@ -1,5 +1,6 @@
 from __future__ import annotations
 
+import logging
 from typing import TYPE_CHECKING
 
 import pytest
@@ -9,6 +10,8 @@
 import example.calculator
 import example.default
 import test.demo
+from annotated_logger import AnnotatedAdapter, AnnotatedLogger
+from annotated_logger.filter import AnnotatedFilter
 from annotated_logger.plugins import RuntimeAnnotationsPlugin
 
 if TYPE_CHECKING:
@@ -618,3 +621,40 @@ def test_annotated_logger_must_be_first(self):
             TypeError, match=r"^annotated_logger must be the first argument$"
         ):
             import example.invalid_order  # noqa: F401 PLC0415
+
+
+def test_positional_only_logger():
+
+    @AnnotatedLogger().annotate_logs(_typing_self=False, _typing_requested=True)
+    def multiply(annotated_logger: AnnotatedAdapter, a: int, /, b: int = 4) -> int:
+        assert isinstance(annotated_logger, AnnotatedAdapter)
+        return a * b
+
+    assert multiply(3) == 12
+    assert multiply(3, b=5) == 15
+
+
+def test_positional_only_method_logger():
+
+    class Example:
+        @AnnotatedLogger().annotate_logs(_typing_self=True, _typing_requested=True)
+        def multiply(
+            self, annotated_logger: AnnotatedAdapter, a: int, /, b: int
+        ) -> int:
+            assert isinstance(annotated_logger, AnnotatedAdapter)
+            return a * b
+
+    assert Example().multiply(3, b=4) == 12
+
+
+def test_provided_positional_only_logger():
+
+    @AnnotatedLogger().annotate_logs(
+        _typing_self=False, _typing_requested=True, provided=True
+    )
+    def multiply(annotated_logger: AnnotatedAdapter, a: int, /, b: int) -> int:
+        assert annotated_logger is supplied
+        return a * b
+
+    supplied = AnnotatedAdapter(logging.getLogger(__name__), AnnotatedFilter())
+    assert multiply(supplied, 3, b=4) == 12