Posted by Roberto on Monday, April 8, 2013 at 12:25am.
I need an expression written for the following logs using "sum, difference, or multiple of logarithms."
a) log[base(2)] ((x^2)  9)/(x^3))^3
b) log[base(a)]5a^4
Hopefully they are clearly written.
thanks.
roberto

math  Steve, Monday, April 8, 2013 at 12:43pm
the base doesn't really matter. All logs follow the same rules.
(a) log(x^29)  9log(x)
but your parentheses are not balanced, so that's a guess. Could also be
3(log(x^29)  3log(x))
(b) log(5) + 4log(a)
Now, it helps to know that we're using logs base a, since then we have
log_a(5) + 4