math
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

You posted an expression, but no question.

The question is to evaluate the following.

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). 
how did u get 2.5 and 1.5

Sorry, the question asked was to Simplify the following.

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

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. 
1.5loga1.5logb so this is correct?