Question 1205380
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Base 10 can be omitted, at all, in order for do not strain your eyes unnecessarily.


So, the starting expression is  log(25/10)-2log(5/9)+log(100/243).


Using properties of logarithms, it is 

    {{{log(((25*9^2*100)/(10*5^2*9^3)))}}} = {{{log((25/5^2)*(9^2/3^5)*(100/10))}}} = {{{log((10/3))}}} = {{{log((10))}}} - {{{log((3))}}} = 1 - log(3) = 0.522878745.   <U>ANSWER</U>


You can round it in a way you want.
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