diff --git a/PreciseNumber.Test/PreciseNumberDomainErrorTests.cs b/PreciseNumber.Test/PreciseNumberDomainErrorTests.cs
index 7d19133..65fb0b4 100644
--- a/PreciseNumber.Test/PreciseNumberDomainErrorTests.cs
+++ b/PreciseNumber.Test/PreciseNumberDomainErrorTests.cs
@@ -23,6 +23,9 @@ public class PreciseNumberDomainErrorTests
 		"Log" => PreciseNumber.Log(x),
 		"Log2" => PreciseNumber.Log2(x),
 		"Log10" => PreciseNumber.Log10(x),
+		"LogInBaseTwo" => PreciseNumber.Log(x, Parse("2")),
+		"LogOfTwoInBase" => PreciseNumber.Log(Parse("2"), x),
+		"LogOfTwoInBaseToFiveDigits" => PreciseNumber.Log(Parse("2"), x, 5),
 		"LogP1" => PreciseNumber.LogP1(x),
 		"Acosh" => PreciseNumber.Acosh(x),
 		"Atanh" => PreciseNumber.Atanh(x),
@@ -40,6 +43,10 @@ public class PreciseNumberDomainErrorTests
 	[DataRow("Log", "-1e-2000000000")]
 	[DataRow("Log", "-1e-2147483648")]
 	[DataRow("Log", "-1e-200000000")]
+	[DataRow("LogInBaseTwo", "-1e-2147483648")]
+	[DataRow("LogInBaseTwo", "-1e-100000")]
+	[DataRow("LogOfTwoInBase", "-1e-2147483648")]
+	[DataRow("LogOfTwoInBaseToFiveDigits", "-1e2147483647")]
 	[DataRow("Log2", "-1e2000000000")]
 	[DataRow("Log2", "-1e-2147483648")]
 	[DataRow("Log10", "-1e2000000000")]
diff --git a/PreciseNumber.Test/PreciseNumberExponentialTests.cs b/PreciseNumber.Test/PreciseNumberExponentialTests.cs
index 930071a..1014a24 100644
--- a/PreciseNumber.Test/PreciseNumberExponentialTests.cs
+++ b/PreciseNumber.Test/PreciseNumberExponentialTests.cs
@@ -150,7 +150,7 @@ public void TestLogInABaseNamesTheArgumentOutsideTheDomain()
 		ArgumentOutOfRangeException negativeBase = Assert.ThrowsExactly<ArgumentOutOfRangeException>(
 			() => PreciseNumber.Log(5.ToPreciseNumber(), (-2).ToPreciseNumber()));
 		Assert.AreEqual("newBase", negativeBase.ParamName);
-		Assert.AreEqual((-2).ToPreciseNumber(), negativeBase.ActualValue);
+		Assert.AreEqual("-2E+000", negativeBase.ActualValue);
 
 		ArgumentOutOfRangeException zeroBase = Assert.ThrowsExactly<ArgumentOutOfRangeException>(
 			() => PreciseNumber.Log(5.ToPreciseNumber(), PreciseNumber.Zero, 20));
diff --git a/PreciseNumber/PreciseNumber.Exponentials.cs b/PreciseNumber/PreciseNumber.Exponentials.cs
index 8c4aad4..a4bc1c6 100644
--- a/PreciseNumber/PreciseNumber.Exponentials.cs
+++ b/PreciseNumber/PreciseNumber.Exponentials.cs
@@ -221,12 +221,12 @@ public static PreciseNumber Log(PreciseNumber x, PreciseNumber newBase, int sign
 		// base is not reported as a bad value by the single-argument Log it would otherwise reach.
 		if (x.Significand.Sign <= 0)
 		{
-			throw new ArgumentOutOfRangeException(nameof(x), x, NonPositiveLogarithmMessage);
+			throw DomainError(nameof(x), x, NonPositiveLogarithmMessage);
 		}
 
 		if (newBase.Significand.Sign <= 0)
 		{
-			throw new ArgumentOutOfRangeException(nameof(newBase), newBase, NonPositiveLogarithmMessage);
+			throw DomainError(nameof(newBase), newBase, NonPositiveLogarithmMessage);
 		}
 
 		int working = significantDigits + ExponentialGuardDigits;