diff --git a/cpp-ch/local-engine/Parser/scalar_function_parser/ln.cpp b/cpp-ch/local-engine/Parser/scalar_function_parser/ln.cpp
index 8d3a86d3938e..452311483d8e 100644
--- a/cpp-ch/local-engine/Parser/scalar_function_parser/ln.cpp
+++ b/cpp-ch/local-engine/Parser/scalar_function_parser/ln.cpp
@@ -29,7 +29,10 @@ class FunctionParserLn : public FunctionParserLogBase
 
     String getName() const override { return name; }
     String getCHFunctionName() const override { return "log"; }
-    DB::Float64 getParameterLowerBoundValue() const override { return 0.0; }
+    const DB::ActionsDAG::Node * getParameterLowerBound(ActionsDAGPtr & actions_dag, const DataTypePtr & data_type) const override
+    {
+        return addColumnToActionsDAG(actions_dag, data_type, 0.0);
+    }
 };
 
 static FunctionParserRegister<FunctionParserLn> register_ln;
diff --git a/cpp-ch/local-engine/Parser/scalar_function_parser/log10.cpp b/cpp-ch/local-engine/Parser/scalar_function_parser/log10.cpp
index 9c476c8d7760..191ca1187512 100644
--- a/cpp-ch/local-engine/Parser/scalar_function_parser/log10.cpp
+++ b/cpp-ch/local-engine/Parser/scalar_function_parser/log10.cpp
@@ -29,7 +29,10 @@ class FunctionParserLog10 : public FunctionParserLogBase
 
     String getName() const override { return name; }
     String getCHFunctionName() const override { return "log10"; }
-    DB::Float64 getParameterLowerBoundValue() const override { return 0.0; }
+    const DB::ActionsDAG::Node * getParameterLowerBound(ActionsDAGPtr & actions_dag, const DataTypePtr & data_type) const override
+    {
+        return addColumnToActionsDAG(actions_dag, data_type, 0.0);
+    }
 };
 
 static FunctionParserRegister<FunctionParserLog10> register_log10;
diff --git a/cpp-ch/local-engine/Parser/scalar_function_parser/log1p.cpp b/cpp-ch/local-engine/Parser/scalar_function_parser/log1p.cpp
index 886fb1752448..d669c1eab88a 100644
--- a/cpp-ch/local-engine/Parser/scalar_function_parser/log1p.cpp
+++ b/cpp-ch/local-engine/Parser/scalar_function_parser/log1p.cpp
@@ -29,7 +29,10 @@ class FunctionParserLog1p : public FunctionParserLogBase
 
     String getName() const override { return name; }
     String getCHFunctionName() const override { return "log1p"; }
-    DB::Float64 getParameterLowerBoundValue() const override { return -1.0; }
+    const DB::ActionsDAG::Node * getParameterLowerBound(ActionsDAGPtr & actions_dag, const DataTypePtr & data_type) const override
+    {
+        return addColumnToActionsDAG(actions_dag, data_type, -1.0);
+    }
 };
 
 static FunctionParserRegister<FunctionParserLog1p> register_log1p;
diff --git a/cpp-ch/local-engine/Parser/scalar_function_parser/log2.cpp b/cpp-ch/local-engine/Parser/scalar_function_parser/log2.cpp
index e51675632086..463795be9c72 100644
--- a/cpp-ch/local-engine/Parser/scalar_function_parser/log2.cpp
+++ b/cpp-ch/local-engine/Parser/scalar_function_parser/log2.cpp
@@ -29,7 +29,10 @@ class FunctionParserLog2 : public FunctionParserLogBase
 
     String getName() const override { return name; }
     String getCHFunctionName() const override { return "log2"; }
-    DB::Float64 getParameterLowerBoundValue() const override { return 0.0; }
+    const DB::ActionsDAG::Node * getParameterLowerBound(ActionsDAGPtr & actions_dag, const DataTypePtr & data_type) const override
+    {
+        return addColumnToActionsDAG(actions_dag, data_type, 0.0);
+    }
 };
 
 static FunctionParserRegister<FunctionParserLog2> register_log2;
diff --git a/cpp-ch/local-engine/Parser/scalar_function_parser/logarithm.h b/cpp-ch/local-engine/Parser/scalar_function_parser/logarithm.h
index 36e76dcaa9ad..f46e6b83136e 100644
--- a/cpp-ch/local-engine/Parser/scalar_function_parser/logarithm.h
+++ b/cpp-ch/local-engine/Parser/scalar_function_parser/logarithm.h
@@ -26,21 +26,20 @@ namespace DB
 namespace ErrorCodes
 {
     extern const int NUMBER_OF_ARGUMENTS_DOESNT_MATCH;
-    extern const int ILLEGAL_TYPE_OF_ARGUMENT;
+    extern const int NOT_IMPLEMENTED;
 }
 }
 
 namespace local_engine
 {
-template<typename FirstParameterDataType>
 class FunctionParserLogBase : public FunctionParser
 {
 public:
     explicit FunctionParserLogBase(SerializedPlanParser * plan_parser_) : FunctionParser(plan_parser_) {}
     ~FunctionParserLogBase() override = default;
 
-    virtual Number getParameterLowerBoundValue() const { return 0.0; }
-    virtual DB::String getCHFunctionName() const { return "log" };
+    virtual DB::String getCHFunctionName() const { return "log"; }
+    virtual const DB::ActionsDAG::Node * getParameterLowerBound(ActionsDAGPtr &, const DataTypePtr &) const { return nullptr; }
 
     const ActionsDAG::Node * parse(
         const substrait::Expression_ScalarFunction & substrait_func,
@@ -64,8 +63,11 @@ class FunctionParserLogBase : public FunctionParser
         auto nullable_result_type = makeNullable(log_node->result_type);
 
         const auto * null_const_node = addColumnToActionsDAG(actions_dag, nullable_result_type, Field());
-        const Number lowerBound = getParameterLowerBoundValue();
-        const auto * le_node = toFunctionNode(actions_dag, "lessOrEquals", {arg_node, addColumnToActionsDAG(actions_dag, result_type, lowerBound)});
+        const auto * lower_bound_node = getParameterLowerBound(actions_dag, arg_node->result_type);
+        if (!lower_bound_node)
+            throw Exception(ErrorCodes::NOT_IMPLEMENTED, "Vritual function {} may not implement for {}", "getParameterLowerBound", getName());
+        
+        const auto * le_node = toFunctionNode(actions_dag, "lessOrEquals", {arg_node, lower_bound_node});
         const auto * result_node = toFunctionNode(actions_dag, "if", {le_node, null_const_node, log_node});
 
         return convertNodeTypeIfNeeded(substrait_func, result_node, actions_dag);