Answer:
b) log8 4 + log8 a + log8 (b- 4) - 4 log8 c
Step-by-step explanation:
The given expression is log8 4a ((b - 4) ÷ c^4)
Here we have to use the quotient rule.
log(a/b) = log a - log b
log8 4a (b- 4) - log8 4a(c^4)
Using the product rule log(ab) = log (a) + log (b)
log8 4a + log8 4a(b-4) - log8 4a - log8 (c^4)
log8 4a(b - 4) - log8 (c^4)
log8 4a + log8 (b- 4) - 4 log8 c
Again using the product rule.
log8 4 + log8 a + log8 (b- 4) - 4 log8 c
So it is b.
Thank you.
