Which expression is equivalent to $\log _8 4 a\left(\frac{b-4}{c^4}\right)$ ?
A. $\log _8 4+\log _8 a-\log _8(b-4)-4 \log _8 c$
B. $\log _8 4+\log _8 a+\left(\log _8(b-4)-4 \log _8 c\right)$
C. $\log _8 4 a+\log _8 b-4-4 \log _8 c-4$
D. $\log _8 4 a-\log _8(b-4)-\log _8 4 c$
Answer (2)
The answer is B . ;
The correct equivalent expression for lo g 8 4 a ( c 4 b − 4 ) is option A: lo g 8 4 + lo g 8 a − lo g 8 ( b − 4 ) − 4 lo g 8 c . This is derived using properties of logarithms to separate and simplify the terms accordingly.
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