Asked by Sam

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
Answered by Marth
You posted an expression, but no question.
Answered by Sam
The question is to evaluate the following.
Answered by 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).
Answered by Sam
how did u get 2.5 and 1.5
Answered by Sam
Sorry, the question asked was to Simplify the following.
Answered by Sam
shouldnt the answer be simplified to 1.5loga-1.5logb and not 2.5loga ? could u explain why it is 2.5
Answered by 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.
Answered by Sam
1.5loga-1.5logb so this is correct?
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