[tex]^{3} logx^{(5 - 3 log(x)) } = 4[/tex] Tolong Bantu Jawab Ya

jawab

³log x^(5 - ³log x)  = 4

x^(5 - ³log x) = 3⁴

(5 - ³log x). log x = 4log 3

log x / log 3 =  4/ ( 5 - ³log x)
³log x = 4 / (5 - ³log x)
misal ³log x = a

a = 4/(5 - a)
a(5 - a) = 4
5a - a² = 4
a² - 5a  + 4 = 0
(a - 4)(a - 1)= 0
a = 4  atau a = 1

³log x = a → x = 3ᵃ
a = 4 → x = 3⁴ = 81
a = 1 → x= 3¹ = 3

x = (3, 81)