Answer :
Final answer:
The value of log₅ 125 is 3.
Explanation:
The value of log₅ 125 is 3.
The logarithm function with base 5 tells us what power 5 needs to be raised to get 125. So, we need to find x in the equation 5ˣ = 125. The question asks for the value of the logarithm log₅ 125. To determine this, we're looking for the power to which the base 5 must be raised to obtain 125. Since 125 is 5 cubed (5³ = 125), the logarithm log₅ 125 is equal to 3. Therefore, log₅ 125 = 3.
Since 53 = 125, the value of log₅ 125 is 3.