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 :(

## Answer this Question

## Related Questions

- Review of Logs - I can't seem to get the answer to this; the answer key says log...
- Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...
- check! - here is the question: log5(x-4)= log7x solve for x. These are just base...
- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- Math - Bases - What is 12 base 5? Would you just divide 12 by five and get 2 (...
- math-logs - 1. logaB = 2 and logbC = 4, evaluate logcA *the lowercase letters ...
- Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...
- Trig - log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i...
- algebra 2 logs and trig - log(base 2)cotx - 2log(base 4)csc2x = log(base 2)cosx ...
- math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...