what is the value of $log_{5}125$?\n3\n5\n15\n25

Explanation:

Step1: Recall logarithm definition

If $y = \log_{a}x$, then $a^{y}=x$. Let $y=\log_{5}125$, so $5^{y}=125$.

Step2: Express 125 as a power of 5

We know that $125 = 5\times5\times5=5^{3}$. So $5^{y}=5^{3}$.

Step3: Equate the exponents

Since the bases are the same ($a = 5$), then $y = 3$.

Answer:

A. 3