Math
posted by ALan on .
Log(base a)(a^4*b)Log(base a)(a*b) is the same as
a)4
b)3
c)3a
d)a^3
I got the answer as d since subtracting logs with the same base is division. However, the answer key saids its b, Can someone please help me with this?

log(base a)(a^4*b)log(base a)(a*b)
= log(base a)[a^4b/ab]
= log(base a) (a^3)
The power to which a has to be raised to get a^3 is 3.
That is what log(base a) a^3 means.
The answer is 3. 
Ooo right, my teacher mentioned that, guessed it slipped my mind. Thanks a lot. Diploma tomorrow :(