diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 689f984e..4c4ba5d6 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -581881,7 +581881,7 @@
     },
     "022339": {
         "id": "022339",
-        "content": "将 $a^{2 k}=N$($a>0$, $a \\neq 1$) 转化成对数式, 其中错误的是\\blank{50}.\\\\\n\\textcircled{1} $k=\\log _{a^2}N$\\\\\n\\textcircled{2} $2=\\log _{a^k}N$\\\\\n\\textcircled{3} $k=\\dfrac{1}{2}\\log _a N$\\\\\n\\textcircled{4} $k=\\log _a \\dfrac{N}{2}$.",
+        "content": "将 $a^{2 k}=N$($a>0$, $a \\neq 1$, $k\\ne 0$) 转化成对数式, 其中错误的是\\blank{50}.\\\\\n\\textcircled{1} $k=\\log _{a^2}N$\\\\\n\\textcircled{2} $2=\\log _{a^k}N$\\\\\n\\textcircled{3} $k=\\dfrac{1}{2}\\log _a N$\\\\\n\\textcircled{4} $k=\\log _a \\dfrac{N}{2}$.",
         "objs": [],
         "tags": [],
         "genre": "填空题",
@@ -581891,7 +581891,8 @@
         "usages": [],
         "origin": "2025届高一上学期周末卷08",
         "edit": [
-            "20230905\t王伟叶"
+            "20230905\t王伟叶",
+            "20231020\t王伟叶"
         ],
         "same": [],
         "related": [],