Question

evaluate each expression.
(a) \\(\log_{5} 1 = \square\\)
(b) \\(\log_{2} 4 = \square\\)

Explanation:

Step1: Evaluate $\log_{5} 1$

Recall the logarithm property: $\log_{a} 1 = 0$ for any $a > 0, a
eq 1$, because $a^0 = 1$. So, $\log_{5} 1 = 0$.

Step2: Evaluate $\log_{2} 4$

Recall that $4 = 2^2$. Using the logarithm property $\log_{a} a^x = x$, we have $\log_{2} 2^2 = 2$. So, $\log_{2} 4 = 2$.

Answer:

(a) $\boldsymbol{0}$
(b) $\boldsymbol{2}$