diff --git a/Project.toml b/Project.toml
index 7f3b0ba04..1c7ebb77e 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ChainRules"
 uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
-version = "1.56.0"
+version = "1.57.0"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/ChainRules.jl b/src/ChainRules.jl
index 28e73c166..6d33a22e7 100644
--- a/src/ChainRules.jl
+++ b/src/ChainRules.jl
@@ -43,6 +43,7 @@ include("rulesets/Base/indexing.jl")
 include("rulesets/Base/sort.jl")
 include("rulesets/Base/mapreduce.jl")
 include("rulesets/Base/broadcast.jl")
+include("rulesets/Base/CoreLogging.jl")
 
 include("rulesets/Distributed/nondiff.jl")
 
diff --git a/src/rulesets/Base/CoreLogging.jl b/src/rulesets/Base/CoreLogging.jl
new file mode 100644
index 000000000..ae97f4e40
--- /dev/null
+++ b/src/rulesets/Base/CoreLogging.jl
@@ -0,0 +1,20 @@
+# For the CoreLogging submodule of Base. (not to be confused with the Logging stdlib)
+
+function rrule(
+    rc::RuleConfig{>:ChainRulesCore.HasReverseMode},
+    ::typeof(Base.CoreLogging.with_logger),
+    f::Function,
+    logger::Base.CoreLogging.AbstractLogger,
+)
+    y, f_pb = Base.CoreLogging.with_logger(logger) do
+        rrule_via_ad(rc, f)
+    end
+    with_logger_pullback(ȳ) = (NoTangent(), only(f_pb(ȳ)), NoTangent())
+    return y, with_logger_pullback
+end
+
+@non_differentiable Base.CoreLogging.current_logger(args...)
+@non_differentiable Base.CoreLogging.current_logger_for_env(::Any...)
+@non_differentiable Base.CoreLogging._invoked_shouldlog(::Any...)
+@non_differentiable Base.CoreLogging.Base.fixup_stdlib_path(::Any)
+@non_differentiable Base.CoreLogging.handle_message(::Any...)
diff --git a/src/rulesets/Base/nondiff.jl b/src/rulesets/Base/nondiff.jl
index 58298f068..d35024163 100644
--- a/src/rulesets/Base/nondiff.jl
+++ b/src/rulesets/Base/nondiff.jl
@@ -483,10 +483,6 @@ end
 @non_differentiable Broadcast.result_style(::Any)
 @non_differentiable Broadcast.result_style(::Any, ::Any)
 
-@non_differentiable Base.CoreLogging.current_logger_for_env(::Any...)
-@non_differentiable Base.CoreLogging._invoked_shouldlog(::Any...)
-@non_differentiable Base.CoreLogging.Base.fixup_stdlib_path(::Any)
-@non_differentiable Base.CoreLogging.handle_message(::Any...)
 
 @non_differentiable Libc.free(::Any)
 @non_differentiable Libc.getpid()
diff --git a/test/rulesets/Base/CoreLogging.jl b/test/rulesets/Base/CoreLogging.jl
new file mode 100644
index 000000000..28c0b74a8
--- /dev/null
+++ b/test/rulesets/Base/CoreLogging.jl
@@ -0,0 +1,11 @@
+# For the CoreLogging submodule of Base. (not to be confused with the Logging stdlib)
+@testset "CoreLogging.jl" begin
+    @testset "with_logger" begin
+        test_rrule(
+            Base.CoreLogging.with_logger,
+            () -> 2.0 * 3.0,
+            Base.CoreLogging.NullLogger();
+            check_inferred=false,
+        )
+    end
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index a9f25c55c..768f7c208 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -53,6 +53,7 @@ end
     test_method_tables()  # Check the global method tables are consistent
 
     # Each file puts all tests inside one or more @testset blocks
+    include_test("rulesets/Base/CoreLogging.jl")
     include_test("rulesets/Base/base.jl")
     include_test("rulesets/Base/fastmath_able.jl")
     include_test("rulesets/Base/evalpoly.jl")