EXP (Transact-SQL)

EXP (Transact-SQL)

 

THIS TOPIC APPLIES TO: yesSQL Server (starting with 2008) yesAzure SQL Database yesAzure SQL Data Warehouse yesParallel Data Warehouse

Returns the exponential value of the specified float expression.

Topic link icon Transact-SQL Syntax Conventions


EXP ( float_expression )
-- Azure SQL Data Warehouse and Parallel Data Warehouse
EXP (float_expression )

float_expression

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

The constant e (2.718281…), is the base of natural logarithms.

The exponent of a number is the constant e raised to the power of the number. For example EXP(1.0) = e^1.0 = 2.71828182845905 and EXP(10) = e^10 = 22026.4657948067.

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

The following example declares a variable and returns the exponential value of the specified variable (10) with a text description.

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

Here is the result set.

----------------------------------------------------------
The EXP of the variable is: 22026.5
(1 row(s) affected)

The following example returns the exponential value of the natural logarithm of 20 and the natural logarithm of the exponential of 20. Because these functions are inverse functions of one another, the return value in both cases is 20.

SELECT EXP( LOG(20)), LOG( EXP(20))
GO

Here is the result set.

---------------------- ----------------------
20                     20

(1 row(s) affected)

The following example returns the exponential value of the specified value (10).

SELECT EXP(10);

Here is the result set.

----------
22026.4657948067

The following example returns the exponential value of the natural logarithm of 20 and the natural logarithm of the exponential of 20. Because these functions are inverse functions of one another, the return value in both cases is 20.

SELECT EXP( LOG(20)), LOG( EXP(20));

Here is the result set.

-------------- -----------------
20                  20

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