Jika f(x) = ³log x/ 1 - 2.³log x, maka nilai f(x) + f(3/x) =…

f(x) = ³log x/(1 - 2.³log x)
f(3/x) = ³log (3/x)/(1 - 2.³log (3/x))

f(x) + f(3/x)
= ³log x/(1 - 2.³log x) + ³log (3/x)/[1 - 2.³log (3/x)]
= ³log x/(1 - 2.³log x) + (³log 3 - ³log x)/[1 - 2(³log 3 - ³log x)]
= ³log x/(1 - 2.³log x) + (1 - ³log x)/[1 - 2(1 - ³log x)]
= ³log x/(1 - 2.³log x) + (1 - ³log x)/(-1 + 2.³log x)
= ³log x/(1 - 2.³log x) - (1 - ³log x)/(1 - 2.³log x)
= [³log x - (1 - ³log x)]/(1 - 2.³log x)
= (-1 + 2.³log x)/(1 - 2.³log x)
= -(1 - 2.³log x)/(1 - 2.³log x) = -1

semoga membantu! :)