Question

find the value of log root 625 base 5​

Answer 1

Step-by-step explanation:

=> 625 = 5 * 5 * 5 * 5

       = (5) to power 4

Therefore, the value log of 625 with the base 5 is (5) to power 4.

Hope This will help you out.

Answer 2

Given : log root 625 base 5

To find : Value of, log root 625 base 5

Solution :

The value is 2

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to find the value of the given term)

Here, we will be using general formulas of logarithm, in order to calculate the value of the given logarithmic term.

Now,

$= log_{5}( \sqrt{625} )$

$= log_{5}(25)$

$= log_{5}( {5}^{2} )$

$= 2 \times log_{5}(5)$

$= 2 \times 1$

$= 2$

(This will be considered as the final result.)

Used formulas :

• $log_{a}( {x}^{n} ) = n \times log_{a}(x)$
• $log_{a}(a) = 1$

Hence, the value is 1