what is the value of $log_{5}125$?\no 3\no 5\no 15\no 25

Explanation:

Step1: Recall log - exponent relationship

Let $y = \log_{5}125$. By the definition of logarithms, if $y=\log_{a}x$, then $x = a^{y}$. So, $125=5^{y}$.

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