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# Mathematical Functions in Python | Set 2 (Logarithmic and Power Functions)

Numeric functions are discussed in set 1 below Mathematical Functions in Python | Set 1 ( Numeric Functions) Logarithmic and power functions are discussed in this set. 1. exp(a) :- This function returns the value of e raised to the power a (e**a) . 2. log(a, b) :- This function returns the logarithmic value of a with base b. If base is not mentioned, the computed value is of natural log.

## Python

 `# Python code to demonstrate the working of``# exp() and log()` `# importing "math" for mathematical operations``import` `math` `# returning the exp of 4``print` `(``"The e**4 value is : "``, end``=``"")``print` `(math.exp(``4``))` `# returning the log of 2,3``print` `(``"The value of log 2 with base 3 is : "``, end``=``"")``print` `(math.log(``2``,``3``))`

Output:

```The e**4 value is : 54.598150033144236
The value of log 2 with base 3 is : 0.6309297535714574```

Time Complexity: O(1)

Auxiliary Space: O(1)

3. log2(a) :- This function computes value of log a with base 2. This value is more accurate than the value of the function discussed above. 4. log10(a) :- This function computes value of log a with base 10. This value is more accurate than the value of the function discussed above.

## Python

 `# Python code to demonstrate the working of``# log2() and log10()` `# importing "math" for mathematical operations``import` `math` `# returning the log2 of 16``print` `(``"The value of log2 of 16 is : "``, end``=``"")``print` `(math.log2(``16``))` `# returning the log10 of 10000``print` `(``"The value of log10 of 10000 is : "``, end``=``"")``print` `(math.log10(``10000``))`

Output:

```The value of log2 of 16 is : 4.0
The value of log10 of 10000 is : 4.0```

Time Complexity: O(1)

Auxiliary Space: O(1)

5. pow(a, b) :- This function is used to compute value of a raised to the power b (a**b). 6. sqrt() :- This function returns the square root of the number.

## Python

 `# Python code to demonstrate the working of``# pow() and sqrt()` `# importing "math" for mathematical operations``import` `math` `# returning the value of 3**2``print` `(``"The value of 3 to the power 2 is : "``, end``=``"")``print` `(math.``pow``(``3``,``2``))` `# returning the square root of 25``print` `(``"The value of square root of 25 : "``, end``=``"")``print` `(math.sqrt(``25``))`

Output:

```The value of 3 to the power 2 is : 9.0
The value of square root of 25 : 5.0```

Time Complexity: O(1)

Auxiliary Space: O(1)