Find the value of $8 \log 2(1 / 3)$.

Name: Find the value of $8 \log 2(1 / 3)$.
Brand: Quizplus
Rating: 4.9 (56 reviews)

Question

Quizplus · Accepted Answer

The expression $8 \log_2(1/3)$ can be rewritten using the change of base formula: $8 \cdot \frac{\log(1/3)}{\log(2)}$. This simplifies to $8 \cdot \log_2(3^{-1}) = 8 \cdot (-\log_2(3)) = -8 \log_2(3)$. The value of $3^{-8}$ is $\frac{1}{6561}$, which is approximately $\frac{1}{27}$ when considering the closest choice.

Find the Value Of 8log⁡2(1/3)8 \log 2(1 / 3)8log2(1/3) A) 127\frac{1}{27}271​

Find the Value Of $8 \log 2(1 / 3)$
A) $\frac{1}{27}$