Question 1163138
If it's simplification you want,

{{{log((30/16))-2log((5/9))+log((400/243))}}}

{{{log((15/8))-2log((5/9))+log((400/243))}}}

{{{log((15/8))-log((25/81))+log((400/243))}}}

{{{log((15/8))+log((81/25))+log((400/243))}}}

{{{log(((15*81*400)/(8*25*243)))}}}

{{{log(((15*81*2)/(243)))}}}

{{{log(((15*81*2)/(81*3)))}}}

{{{log(((15*2)/(3)))}}}

{{{log((5*2))}}}

{{{highlight(log((10)))}}}