Question

evaluate \\(\log_{4}0.25\\). \\(\log_{4}0.25 = \square\\)

Explanation:

Step1: Rewrite 0.25 as power of 4

$0.25 = \frac{1}{4} = 4^{-1}$

Step2: Apply logarithm power rule

$\log_{4}4^{-1} = -1 \times \log_{4}4$

Step3: Use $\log_b b = 1$

$-1 \times 1 = -1$

Answer:

$-1$