The value of log a (30a) ^3

Step-by-step explanation:

I'm going to have to assume that you meant "log "a * (30a) ^3".

If that's the case, then applying the multiplication rule of logs produces:

log a + log (30a) ^3, which in turn comes out to:

log a + 3*log (30a), or

log a + 3 * (log 30 + log a), or

log a + 3*log a + 3*log 30

This simplifies to:

4*log a + 3*log 30