Question

Which expression is equivalent to loga4a(b-4/c^4)

Answer 1

answer is A

Explanation:

bc

Answer 2

`\large\boxed{\log_84a\left((b-4)/(c^4)\right)=\log_84+\log_8a+\log_8(b-4)-4\log_8c}`

Explanation:

`\text{Use}\\\\\log_ab^n=n\log_ab\\\\\log_a(bc)=\log_ab+\log_ac\\\\\log_a\left(\frac{b}c{}\right)=\log_ab-\log_ac\\\\==============================`

`\log_84a\left((b-4)/(c^4)\right)=\log_84+\log_8a+\log_8(b-4)/(c^4)\\\\=\log_84+\log_8a+\log_8(b-4)-\log_8c^4\\\\=\log_84+\log_8a+\log_8(b-4)-4\log_8c`