Posted by Sam on .
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,
You posted an expression, but no question.

math 
Sam,
The question is to evaluate the following.

math 
Marth,
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,
how did u get 2.5 and 1.5

math 
Sam,
Sorry, the question asked was to Simplify the following.

math 
Sam,
shouldnt the answer be simplified to 1.5loga1.5logb and not 2.5loga ? could u explain why it is 2.5

math 
drwls,
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,
1.5loga1.5logb so this is correct?