help with a log...

[boyo1991]

ok, so, the log im working on is log base 40 of ((600)(400))...


so does this make it (log base 40 of 600)+(log base 40 of 400) then making it:

(log 600/log 40)+(log 400/log 40)

correct?

[HallsofIvy]

ok, so, the log im working on is log base 40 of ((600)(400))...


so does this make it (log base 40 of 600)+(log base 40 of 400) then making it:

(log 600/log 40)+(log 400/log 40)

correct?
Yes, if by just "log" you mean "log base 10" or "natural log" or, in fact, any base, then log base 40 (x)= log(x)/log(40) so what you have is correct. Of course, that is exactly the same as log((600)(400))/log(40).