Question

Evaluate Loga√44+ Log a√275- Log 11a
They all have base 10

Answer 1

`log(10a)`

Explanation:

`log(a√(44))+log(a \sqrt275)-log(11a)`

We can simplify this using these log laws:

`log(a)+log(b)=log(ab)\\log(a)-log(b)=log((a)/(b))`

`log((a^2√(44) √(275))/(11a))`

We also have laws to simplify square roots

`√(a)*√(b) = √(ab)`

So this becomes

`log((a^2√(12100))/(11a))`

`√(12100) = 110`

so this becomes

`log((110a^2)/(11a))=log(10a)`