diff --git a/cmd/vet/doc.go b/cmd/vet/doc.go
index 2b7e1432ee..b610b40174 100644
--- a/cmd/vet/doc.go
+++ b/cmd/vet/doc.go
@@ -49,6 +49,7 @@ with these names, disregarding case:
 	Sprint Sprintf Sprintln
 	Error Errorf
 	Fatal Fatalf
+	Log Logf
 	Panic Panicf Panicln
 If the function name ends with an 'f', the function is assumed to take
 a format descriptor string in the manner of fmt.Printf. If not, vet
diff --git a/cmd/vet/print.go b/cmd/vet/print.go
index 86cb9c87b0..86958c71ca 100644
--- a/cmd/vet/print.go
+++ b/cmd/vet/print.go
@@ -35,6 +35,7 @@ var printfList = map[string]int{
 	"errorf":  0,
 	"fatalf":  0,
 	"fprintf": 1,
+	"logf":    0,
 	"panicf":  0,
 	"printf":  0,
 	"sprintf": 0,
@@ -47,6 +48,7 @@ var printList = map[string]int{
 	"error":  0,
 	"fatal":  0,
 	"fprint": 1, "fprintln": 1,
+	"log":   0,
 	"panic": 0, "panicln": 0,
 	"print": 0, "println": 0,
 	"sprint": 0, "sprintln": 0,
@@ -494,6 +496,18 @@ func (f *File) checkPrint(call *ast.CallExpr, name string, firstArg int) {
 	isLn := strings.HasSuffix(name, "ln")
 	isF := strings.HasPrefix(name, "F")
 	args := call.Args
+	if name == "Log" {
+		// Special case: Don't complain about math.Log or cmplx.Log.
+		// Not strictly necessary because the only complaint likely is for Log("%d")
+		// but it feels wrong to check that math.Log is a good print function.
+		if sel, ok := args[0].(*ast.SelectorExpr); ok {
+			if x, ok := sel.X.(*ast.Ident); ok {
+				if x.Name == "math" || x.Name == "cmplx" {
+					return
+				}
+			}
+		}
+	}
 	// check for Println(os.Stderr, ...)
 	if firstArg == 0 && !isF && len(args) > 0 {
 		if sel, ok := args[0].(*ast.SelectorExpr); ok {
diff --git a/cmd/vet/testdata/print.go b/cmd/vet/testdata/print.go
index 4f3d249d7c..3875ac5069 100644
--- a/cmd/vet/testdata/print.go
+++ b/cmd/vet/testdata/print.go
@@ -8,6 +8,7 @@ package testdata
 
 import (
 	"fmt"
+	"math"
 	"os"
 	"unsafe" // just for test case printing unsafe.Pointer
 )
@@ -197,6 +198,13 @@ func PrintfTests() {
 	Printf("%p %x", recursiveStruct1V, recursiveStruct1V.next)
 	Printf("%p %x", recursiveSliceV, recursiveSliceV)
 	Printf("%p %x", recursiveMapV, recursiveMapV)
+	// Special handling for Log.
+	math.Log(3)  // OK
+	Log(3)       // OK
+	Log("%d", 3) // ERROR "possible formatting directive in Log call"
+	Logf("%d", 3)
+	Logf("%d", "hi") // ERROR "arg .hi. for printf verb %d of wrong type: untyped string"
+
 }
 
 // Printf is used by the test so we must declare it.