Posted by **Sam** on Thursday, December 30, 2010 at 1:44pm.

log [ a^3\/ab / (ab^2) ]

--> in words this is, log(a to the power 3 times by the square root of ab divided by (a times b to the power of two)

please show the full steps

- logarithms -
**Marth**, Thursday, December 30, 2010 at 3:26pm
You posted an expression, but no question.

- math -
**Sam**, Thursday, December 30, 2010 at 4:13pm
The question is to evaluate the following.

- math -
**Marth**, Thursday, December 30, 2010 at 7:17pm
You can simplify log((a^3)sqrt(ab)/(ab^2)) to log((a^2.5)/(b^1.5)).

= 2.5log(a) - 1.5log(b)

But you cannot evaluate this without knowing log(a) and log(b).

- math -
**Sam**, Thursday, December 30, 2010 at 9:39pm
how did u get 2.5 and 1.5

- math -
**Sam**, Thursday, December 30, 2010 at 9:44pm
Sorry, the question asked was to Simplify the following.

- math -
**Sam**, Thursday, December 30, 2010 at 10:01pm
shouldnt the answer be simplified to 1.5loga-1.5logb and not 2.5loga ? could u explain why it is 2.5

- math -
**drwls**, Friday, December 31, 2010 at 8:06am
log [ a^3(ab)^1/2 / (ab^2) ]

= log (a^2.5 * b^-1.5]

= 2.5 log a - 1.5 log b

Sam is correct. Just use the rules for adding and subtracting exponents when multiplying and dividing.

- math -
**Sam**, Friday, December 31, 2010 at 12:31pm
1.5loga-1.5logb so this is correct?

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