Simplify:

Simplify numerator
log (ab2) + log (1/a2b)
= log (ab2) + log (a-2b-1)
= log a + 2 log b -2 log a - log b
= -log a + log b
= log (b/a)

Simplify denominator
4 log [(1/a3)(b)(1/a-2)
= 4 log (a-1 b) = 4 log (b/a)

Ratio = [log (b/a)]/[4 log (b/a)] = 1/4

Return to Self test 3