Posted by **ALan** on Thursday, January 21, 2010 at 6:34pm.

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?

- Math -
**drwls**, Thursday, January 21, 2010 at 7:43pm
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.

- Math -
**ALan**, Thursday, January 21, 2010 at 8:05pm
Ooo right, my teacher mentioned that, guessed it slipped my mind. Thanks a lot. Diploma tomorrow :(

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