Question

due saturday by 11:59pm points 100 submitting an external tool which is equal to log₄0.25? select the correct answer below: 24 o ¼ o -¼ o -1 o 1 o -4 feedback more instruction

Explanation:

Step1: Rewrite 0.25 as a fraction

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

Step2: Rewrite the logarithm

$\log_{4}0.25 = \log_{4}\frac{1}{4}$

Step3: Use the logarithm property $\log_{a}a^{b}=b$

Since $\frac{1}{4}=4^{- 1}$, then $\log_{4}\frac{1}{4}=\log_{4}4^{-1}=-1$

Answer:

C. -1