**THIS TOPIC APPLIES TO:**SQL Server (starting with 2008)Azure SQL DatabaseAzure SQL Data Warehouse Parallel Data Warehouse

Returns the natural logarithm of the specified **float** expression in SQL Server.

Transact-SQL Syntax Conventions

## Syntax

```
-- Syntax for SQL Server
LOG ( float_expression [, base ] )
```

```
-- Syntax for Azure SQL Database, Azure SQL Data Warehouse, Parallel Data Warehouse
LOG ( float_expression )
```

## Arguments

*float_expression*

Is an expression of type **float** or of a type that can be implicitly converted to **float**.

*base*

Optional integer argument that sets the base for the logarithm.

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|**Applies to**: SQL Server 2012 through SQL Server 2016.|

## Return Types

**float**

## Remarks

By default, **LOG()** returns the natural logarithm. Starting with SQL Server 2012, you can change the base of the logarithm to another value by using the optional *base* parameter.

The natural logarithm is the logarithm to the base **e**, where **e** is an irrational constant approximately equal to 2.718281828.

The natural logarithm of the exponential of a number is the number itself: LOG( EXP( *n* ) ) = *n*. And the exponential of the natural logarithm of a number is the number itself: EXP( LOG( *n* ) ) = *n*.

## Examples

### A. Calculating the logarithm for a number.

The following example calculates the `LOG`

for the specified **float** expression.

```
DECLARE @var float = 10;
SELECT 'The LOG of the variable is: ' + CONVERT(varchar, LOG(@var));
GO
```

Here is the result set.

```
-------------------------------------
The LOG of the variable is: 2.30259
(1 row(s) affected)
```

### B. Calculating the logarithm of the exponent of a number.

The following example calculates the `LOG`

for the exponent of a number.

```
SELECT LOG (EXP (10));
```

Here is the result set.

```
----------------------------------
10
(1 row(s) affected)
```

## Examples: Azure SQL Data Warehouse and Parallel Data Warehouse

### C. Calculating the logarithm for a number

The following example calculates the `LOG`

for the specified **float** expression.

```
SELECT LOG(10);
```

Here is the result set.

`----------------`

`2.30`

### D. Calculating the logarithm of the exponent of a number

The following example calculates the `LOG`

for the exponent of a number.

```
SELECT LOG(EXP (10));
```

Here is the result set.

`---------`

`10.00`

## See Also

Mathematical Functions (Transact-SQL)

EXP (Transact-SQL)

LOG10 (Transact-SQL)