what is the value of log₅125?\no 3\no 5\no 15\no 25

Answer:

A. 3

Explanation:

Step1: Recall logarithm definition

The logarithm $\log_{a}b = c$ means $a^{c}=b$. Here, we have $\log_{5}125$, so we need to find $c$ such that $5^{c}=125$.

Step2: Express 125 as a power of 5

We know that $5\times5\times5 = 5^{3}=125$. So when $a = 5$, $b=125$, $c = 3$ since $5^{3}=125$. Thus $\log_{5}125=3$.