Himpunan penyelesaian dari persamaan 3^log(3^log x)=3^log(3-3^log x)+1

jawab

³log  ( ³log x)  = ³log ( 3 - ³log x)    + 1
³log (³log x) = ³log (3 - ³log x)+ ³log 3
³log (³log x) = ³log 3(3 - ³log x)

³log x = 9 - 3³log x
³log x = ³log 3⁹ - ³log x³
³log x = ³log (3⁹/ x³)

x = 3⁹/x³
x⁴ = 3⁹
x= 3^(9/4)
x = ⁴√ 3⁹
x = 3² ⁴√ 3
x = 9  ⁴√3