Question

Which expression is equivalent to

Answer 1

b) log8 4 + log8 a + log8 (b- 4) - 4 log8 c

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.