How you simplify log(8) + log(18)?

1 Answer
Dec 12, 2016

4log2 + 2log3

Explanation:

log8 = log(2^3) = 3log2

log(18) = log(9 xx 2) = log9 + log2

log(9) = log(3^2) = 2log3

Putting this together, we have:

log8 + log18 = 2log3 + log2 + 3log2 = 4log2 + 2log3

This is as good as we can get it.

Hopefully this helps!