diff --git a/crates/ruff_linter/resources/test/fixtures/refurb/FURB163.py b/crates/ruff_linter/resources/test/fixtures/refurb/FURB163.py
new file mode 100644
index 0000000000000..1f2255be8ef74
--- /dev/null
+++ b/crates/ruff_linter/resources/test/fixtures/refurb/FURB163.py
@@ -0,0 +1,47 @@
+import math
+
+from math import e as special_e
+from math import log as special_log
+
+# Errors.
+math.log(1, 2)
+math.log(1, 10)
+math.log(1, math.e)
+foo = ...
+math.log(foo, 2)
+math.log(foo, 10)
+math.log(foo, math.e)
+math.log(1, special_e)
+special_log(1, 2)
+special_log(1, 10)
+special_log(1, math.e)
+special_log(1, special_e)
+
+# Ok.
+math.log2(1)
+math.log10(1)
+math.log(1)
+math.log(1, 3)
+math.log(1, math.pi)
+
+two = 2
+math.log(1, two)
+
+ten = 10
+math.log(1, ten)
+
+e = math.e
+math.log(1, e)
+
+math.log2(1, 10)  # math.log2 takes only one argument.
+math.log10(1, 2)  # math.log10 takes only one argument.
+
+math.log(1, base=2)  # math.log does not accept keyword arguments.
+
+def log(*args):
+    print(f"Logging: {args}")
+
+
+log(1, 2)
+log(1, 10)
+log(1, math.e)
diff --git a/crates/ruff_linter/src/checkers/ast/analyze/expression.rs b/crates/ruff_linter/src/checkers/ast/analyze/expression.rs
index e5ca3bbee31f6..f3e8bbaecfe6e 100644
--- a/crates/ruff_linter/src/checkers/ast/analyze/expression.rs
+++ b/crates/ruff_linter/src/checkers/ast/analyze/expression.rs
@@ -928,6 +928,9 @@ pub(crate) fn expression(expr: &Expr, checker: &mut Checker) {
             if checker.enabled(Rule::PrintEmptyString) {
                 refurb::rules::print_empty_string(checker, call);
             }
+            if checker.enabled(Rule::RedundantLogBase) {
+                refurb::rules::redundant_log_base(checker, call);
+            }
             if checker.enabled(Rule::QuadraticListSummation) {
                 ruff::rules::quadratic_list_summation(checker, call);
             }
diff --git a/crates/ruff_linter/src/codes.rs b/crates/ruff_linter/src/codes.rs
index 1e04278e0f15b..4dc1f13c55e05 100644
--- a/crates/ruff_linter/src/codes.rs
+++ b/crates/ruff_linter/src/codes.rs
@@ -955,6 +955,7 @@ pub fn code_to_rule(linter: Linter, code: &str) -> Option<(RuleGroup, Rule)> {
         (Refurb, "145") => (RuleGroup::Preview, rules::refurb::rules::SliceCopy),
         (Refurb, "148") => (RuleGroup::Preview, rules::refurb::rules::UnnecessaryEnumerate),
         (Refurb, "152") => (RuleGroup::Preview, rules::refurb::rules::MathConstant),
+        (Refurb, "163") => (RuleGroup::Preview, rules::refurb::rules::RedundantLogBase),
         (Refurb, "168") => (RuleGroup::Preview, rules::refurb::rules::IsinstanceTypeNone),
         (Refurb, "169") => (RuleGroup::Preview, rules::refurb::rules::TypeNoneComparison),
         (Refurb, "171") => (RuleGroup::Preview, rules::refurb::rules::SingleItemMembershipTest),
diff --git a/crates/ruff_linter/src/rules/refurb/mod.rs b/crates/ruff_linter/src/rules/refurb/mod.rs
index 49a2c49bfe6c2..a7640bcd4c72b 100644
--- a/crates/ruff_linter/src/rules/refurb/mod.rs
+++ b/crates/ruff_linter/src/rules/refurb/mod.rs
@@ -28,6 +28,7 @@ mod tests {
     #[test_case(Rule::SingleItemMembershipTest, Path::new("FURB171.py"))]
     #[test_case(Rule::IsinstanceTypeNone, Path::new("FURB168.py"))]
     #[test_case(Rule::TypeNoneComparison, Path::new("FURB169.py"))]
+    #[test_case(Rule::RedundantLogBase, Path::new("FURB163.py"))]
     fn rules(rule_code: Rule, path: &Path) -> Result<()> {
         let snapshot = format!("{}_{}", rule_code.noqa_code(), path.to_string_lossy());
         let diagnostics = test_path(
diff --git a/crates/ruff_linter/src/rules/refurb/rules/mod.rs b/crates/ruff_linter/src/rules/refurb/rules/mod.rs
index 6729202272905..d43f87bced0aa 100644
--- a/crates/ruff_linter/src/rules/refurb/rules/mod.rs
+++ b/crates/ruff_linter/src/rules/refurb/rules/mod.rs
@@ -6,6 +6,7 @@ pub(crate) use isinstance_type_none::*;
 pub(crate) use math_constant::*;
 pub(crate) use print_empty_string::*;
 pub(crate) use read_whole_file::*;
+pub(crate) use redundant_log_base::*;
 pub(crate) use reimplemented_starmap::*;
 pub(crate) use repeated_append::*;
 pub(crate) use single_item_membership_test::*;
@@ -21,6 +22,7 @@ mod isinstance_type_none;
 mod math_constant;
 mod print_empty_string;
 mod read_whole_file;
+mod redundant_log_base;
 mod reimplemented_starmap;
 mod repeated_append;
 mod single_item_membership_test;
diff --git a/crates/ruff_linter/src/rules/refurb/rules/redundant_log_base.rs b/crates/ruff_linter/src/rules/refurb/rules/redundant_log_base.rs
new file mode 100644
index 0000000000000..a4a6e58959326
--- /dev/null
+++ b/crates/ruff_linter/src/rules/refurb/rules/redundant_log_base.rs
@@ -0,0 +1,149 @@
+use anyhow::Result;
+use ruff_diagnostics::{Diagnostic, Edit, Fix, FixAvailability, Violation};
+use ruff_macros::{derive_message_formats, violation};
+use ruff_python_ast::{self as ast, Expr, Number};
+use ruff_text_size::Ranged;
+
+use crate::checkers::ast::Checker;
+use crate::importer::ImportRequest;
+
+/// ## What it does
+/// Checks for `math.log` calls with a redundant base.
+///
+/// ## Why is this bad?
+/// The default base of `math.log` is `e`, so specifying it explicitly is
+/// redundant.
+///
+/// Instead of passing 2 or 10 as the base, use `math.log2` or `math.log10`
+/// respectively, as these dedicated variants are typically more accurate
+/// than `math.log`.
+///
+/// ## Example
+/// ```python
+/// import math
+///
+/// math.log(4, math.e)
+/// math.log(4, 2)
+/// math.log(4, 10)
+/// ```
+///
+/// Use instead:
+/// ```python
+/// import math
+///
+/// math.log(4)
+/// math.log2(4)
+/// math.log10(4)
+/// ```
+///
+/// ## References
+/// - [Python documentation: `math.log`](https://docs.python.org/3/library/math.html#math.log)
+/// - [Python documentation: `math.log2`](https://docs.python.org/3/library/math.html#math.log2)
+/// - [Python documentation: `math.log10`](https://docs.python.org/3/library/math.html#math.log10)
+/// - [Python documentation: `math.e`](https://docs.python.org/3/library/math.html#math.e)
+#[violation]
+pub struct RedundantLogBase {
+    base: Base,
+    arg: String,
+}
+
+impl Violation for RedundantLogBase {
+    const FIX_AVAILABILITY: FixAvailability = FixAvailability::Sometimes;
+
+    #[derive_message_formats]
+    fn message(&self) -> String {
+        let RedundantLogBase { base, arg } = self;
+        let log_function = base.to_log_function();
+        format!("Prefer `math.{log_function}({arg})` over `math.log` with a redundant base")
+    }
+
+    fn fix_title(&self) -> Option<String> {
+        let RedundantLogBase { base, arg } = self;
+        let log_function = base.to_log_function();
+        Some(format!("Replace with `math.{log_function}({arg})`"))
+    }
+}
+
+/// FURB163
+pub(crate) fn redundant_log_base(checker: &mut Checker, call: &ast::ExprCall) {
+    if !call.arguments.keywords.is_empty() {
+        return;
+    }
+
+    let [arg, base] = &call.arguments.args.as_slice() else {
+        return;
+    };
+
+    if !checker
+        .semantic()
+        .resolve_call_path(&call.func)
+        .as_ref()
+        .is_some_and(|call_path| matches!(call_path.as_slice(), ["math", "log"]))
+    {
+        return;
+    }
+
+    let base = if is_number_literal(base, 2) {
+        Base::Two
+    } else if is_number_literal(base, 10) {
+        Base::Ten
+    } else if checker
+        .semantic()
+        .resolve_call_path(base)
+        .as_ref()
+        .is_some_and(|call_path| matches!(call_path.as_slice(), ["math", "e"]))
+    {
+        Base::E
+    } else {
+        return;
+    };
+
+    let mut diagnostic = Diagnostic::new(
+        RedundantLogBase {
+            base,
+            arg: checker.locator().slice(arg).into(),
+        },
+        call.range(),
+    );
+    diagnostic.try_set_fix(|| generate_fix(checker, call, base, arg));
+    checker.diagnostics.push(diagnostic);
+}
+
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+enum Base {
+    E,
+    Two,
+    Ten,
+}
+
+impl Base {
+    fn to_log_function(self) -> &'static str {
+        match self {
+            Base::E => "log",
+            Base::Two => "log2",
+            Base::Ten => "log10",
+        }
+    }
+}
+
+fn is_number_literal(expr: &Expr, value: i8) -> bool {
+    if let Expr::NumberLiteral(number_literal) = expr {
+        if let Number::Int(number) = &number_literal.value {
+            return number.as_i8().is_some_and(|number| number == value);
+        }
+    }
+    false
+}
+
+fn generate_fix(checker: &Checker, call: &ast::ExprCall, base: Base, arg: &Expr) -> Result<Fix> {
+    let (edit, binding) = checker.importer().get_or_import_symbol(
+        &ImportRequest::import("math", base.to_log_function()),
+        call.start(),
+        checker.semantic(),
+    )?;
+    let number = checker.locator().slice(arg);
+    Ok(Fix::safe_edits(
+        Edit::range_replacement(format!("{binding}({number})"), call.range()),
+        [edit],
+    ))
+}
diff --git a/crates/ruff_linter/src/rules/refurb/snapshots/ruff_linter__rules__refurb__tests__FURB163_FURB163.py.snap b/crates/ruff_linter/src/rules/refurb/snapshots/ruff_linter__rules__refurb__tests__FURB163_FURB163.py.snap
new file mode 100644
index 0000000000000..e6441a4c1e3e0
--- /dev/null
+++ b/crates/ruff_linter/src/rules/refurb/snapshots/ruff_linter__rules__refurb__tests__FURB163_FURB163.py.snap
@@ -0,0 +1,233 @@
+---
+source: crates/ruff_linter/src/rules/refurb/mod.rs
+---
+FURB163.py:7:1: FURB163 [*] Prefer `math.log2(1)` over `math.log` with a redundant base
+  |
+6 | # Errors.
+7 | math.log(1, 2)
+  | ^^^^^^^^^^^^^^ FURB163
+8 | math.log(1, 10)
+9 | math.log(1, math.e)
+  |
+  = help: Replace with `math.log2(1)`
+
+ℹ Safe fix
+4 4 | from math import log as special_log
+5 5 | 
+6 6 | # Errors.
+7   |-math.log(1, 2)
+  7 |+math.log2(1)
+8 8 | math.log(1, 10)
+9 9 | math.log(1, math.e)
+10 10 | foo = ...
+
+FURB163.py:8:1: FURB163 [*] Prefer `math.log10(1)` over `math.log` with a redundant base
+   |
+ 6 | # Errors.
+ 7 | math.log(1, 2)
+ 8 | math.log(1, 10)
+   | ^^^^^^^^^^^^^^^ FURB163
+ 9 | math.log(1, math.e)
+10 | foo = ...
+   |
+   = help: Replace with `math.log10(1)`
+
+ℹ Safe fix
+5 5 | 
+6 6 | # Errors.
+7 7 | math.log(1, 2)
+8   |-math.log(1, 10)
+  8 |+math.log10(1)
+9 9 | math.log(1, math.e)
+10 10 | foo = ...
+11 11 | math.log(foo, 2)
+
+FURB163.py:9:1: FURB163 [*] Prefer `math.log(1)` over `math.log` with a redundant base
+   |
+ 7 | math.log(1, 2)
+ 8 | math.log(1, 10)
+ 9 | math.log(1, math.e)
+   | ^^^^^^^^^^^^^^^^^^^ FURB163
+10 | foo = ...
+11 | math.log(foo, 2)
+   |
+   = help: Replace with `math.log(1)`
+
+ℹ Safe fix
+6  6  | # Errors.
+7  7  | math.log(1, 2)
+8  8  | math.log(1, 10)
+9     |-math.log(1, math.e)
+   9  |+math.log(1)
+10 10 | foo = ...
+11 11 | math.log(foo, 2)
+12 12 | math.log(foo, 10)
+
+FURB163.py:11:1: FURB163 [*] Prefer `math.log2(foo)` over `math.log` with a redundant base
+   |
+ 9 | math.log(1, math.e)
+10 | foo = ...
+11 | math.log(foo, 2)
+   | ^^^^^^^^^^^^^^^^ FURB163
+12 | math.log(foo, 10)
+13 | math.log(foo, math.e)
+   |
+   = help: Replace with `math.log2(foo)`
+
+ℹ Safe fix
+8  8  | math.log(1, 10)
+9  9  | math.log(1, math.e)
+10 10 | foo = ...
+11    |-math.log(foo, 2)
+   11 |+math.log2(foo)
+12 12 | math.log(foo, 10)
+13 13 | math.log(foo, math.e)
+14 14 | math.log(1, special_e)
+
+FURB163.py:12:1: FURB163 [*] Prefer `math.log10(foo)` over `math.log` with a redundant base
+   |
+10 | foo = ...
+11 | math.log(foo, 2)
+12 | math.log(foo, 10)
+   | ^^^^^^^^^^^^^^^^^ FURB163
+13 | math.log(foo, math.e)
+14 | math.log(1, special_e)
+   |
+   = help: Replace with `math.log10(foo)`
+
+ℹ Safe fix
+9  9  | math.log(1, math.e)
+10 10 | foo = ...
+11 11 | math.log(foo, 2)
+12    |-math.log(foo, 10)
+   12 |+math.log10(foo)
+13 13 | math.log(foo, math.e)
+14 14 | math.log(1, special_e)
+15 15 | special_log(1, 2)
+
+FURB163.py:13:1: FURB163 [*] Prefer `math.log(foo)` over `math.log` with a redundant base
+   |
+11 | math.log(foo, 2)
+12 | math.log(foo, 10)
+13 | math.log(foo, math.e)
+   | ^^^^^^^^^^^^^^^^^^^^^ FURB163
+14 | math.log(1, special_e)
+15 | special_log(1, 2)
+   |
+   = help: Replace with `math.log(foo)`
+
+ℹ Safe fix
+10 10 | foo = ...
+11 11 | math.log(foo, 2)
+12 12 | math.log(foo, 10)
+13    |-math.log(foo, math.e)
+   13 |+math.log(foo)
+14 14 | math.log(1, special_e)
+15 15 | special_log(1, 2)
+16 16 | special_log(1, 10)
+
+FURB163.py:14:1: FURB163 [*] Prefer `math.log(1)` over `math.log` with a redundant base
+   |
+12 | math.log(foo, 10)
+13 | math.log(foo, math.e)
+14 | math.log(1, special_e)
+   | ^^^^^^^^^^^^^^^^^^^^^^ FURB163
+15 | special_log(1, 2)
+16 | special_log(1, 10)
+   |
+   = help: Replace with `math.log(1)`
+
+ℹ Safe fix
+11 11 | math.log(foo, 2)
+12 12 | math.log(foo, 10)
+13 13 | math.log(foo, math.e)
+14    |-math.log(1, special_e)
+   14 |+math.log(1)
+15 15 | special_log(1, 2)
+16 16 | special_log(1, 10)
+17 17 | special_log(1, math.e)
+
+FURB163.py:15:1: FURB163 [*] Prefer `math.log2(1)` over `math.log` with a redundant base
+   |
+13 | math.log(foo, math.e)
+14 | math.log(1, special_e)
+15 | special_log(1, 2)
+   | ^^^^^^^^^^^^^^^^^ FURB163
+16 | special_log(1, 10)
+17 | special_log(1, math.e)
+   |
+   = help: Replace with `math.log2(1)`
+
+ℹ Safe fix
+12 12 | math.log(foo, 10)
+13 13 | math.log(foo, math.e)
+14 14 | math.log(1, special_e)
+15    |-special_log(1, 2)
+   15 |+math.log2(1)
+16 16 | special_log(1, 10)
+17 17 | special_log(1, math.e)
+18 18 | special_log(1, special_e)
+
+FURB163.py:16:1: FURB163 [*] Prefer `math.log10(1)` over `math.log` with a redundant base
+   |
+14 | math.log(1, special_e)
+15 | special_log(1, 2)
+16 | special_log(1, 10)
+   | ^^^^^^^^^^^^^^^^^^ FURB163
+17 | special_log(1, math.e)
+18 | special_log(1, special_e)
+   |
+   = help: Replace with `math.log10(1)`
+
+ℹ Safe fix
+13 13 | math.log(foo, math.e)
+14 14 | math.log(1, special_e)
+15 15 | special_log(1, 2)
+16    |-special_log(1, 10)
+   16 |+math.log10(1)
+17 17 | special_log(1, math.e)
+18 18 | special_log(1, special_e)
+19 19 | 
+
+FURB163.py:17:1: FURB163 [*] Prefer `math.log(1)` over `math.log` with a redundant base
+   |
+15 | special_log(1, 2)
+16 | special_log(1, 10)
+17 | special_log(1, math.e)
+   | ^^^^^^^^^^^^^^^^^^^^^^ FURB163
+18 | special_log(1, special_e)
+   |
+   = help: Replace with `math.log(1)`
+
+ℹ Safe fix
+14 14 | math.log(1, special_e)
+15 15 | special_log(1, 2)
+16 16 | special_log(1, 10)
+17    |-special_log(1, math.e)
+   17 |+math.log(1)
+18 18 | special_log(1, special_e)
+19 19 | 
+20 20 | # Ok.
+
+FURB163.py:18:1: FURB163 [*] Prefer `math.log(1)` over `math.log` with a redundant base
+   |
+16 | special_log(1, 10)
+17 | special_log(1, math.e)
+18 | special_log(1, special_e)
+   | ^^^^^^^^^^^^^^^^^^^^^^^^^ FURB163
+19 | 
+20 | # Ok.
+   |
+   = help: Replace with `math.log(1)`
+
+ℹ Safe fix
+15 15 | special_log(1, 2)
+16 16 | special_log(1, 10)
+17 17 | special_log(1, math.e)
+18    |-special_log(1, special_e)
+   18 |+math.log(1)
+19 19 | 
+20 20 | # Ok.
+21 21 | math.log2(1)
+
+
diff --git a/ruff.schema.json b/ruff.schema.json
index 8ae7c3fe37fb2..38b1dbc5319ac 100644
--- a/ruff.schema.json
+++ b/ruff.schema.json
@@ -2849,6 +2849,7 @@
         "FURB15",
         "FURB152",
         "FURB16",
+        "FURB163",
         "FURB168",
         "FURB169",
         "FURB17",