Diketahui sistem persamaan :
^3log x^5 + ^3log y= 14
^3log x + ^3log y= 6
Nilai x + y = ......
a. 30
b. 36
c. 64
d. 72
e. 90
pakai cara ya, terimakasih
^3log x^5 + ^3log y= 14
^3log x + ^3log y= 6
Nilai x + y = ......
a. 30
b. 36
c. 64
d. 72
e. 90
pakai cara ya, terimakasih
More Questions From This User See All
Verified answer
Persamaanmisalkan
³log x = a --> x = 3ᵃ
³log y = b --> y = 3ᵇ
x + y = 3ᵃ + 3ᵇ
³log x⁵ + ³log y = 14 --> sederhanakan -->5. ³log x + ³log y = 14
atau 5a+ b = 14 ....(1)
³log x + ³log y = 6 --> a + b = 6...(2)
eliminasikan 1 dan 2
5a + b = 14
a + b = 6
kurangkan
4a = 8 --> a = 2
a + b = 6
b = 6- a
b = 4
x + y = 3ᵃ + 3ᵇ
x + y = 3² + 3⁴ =9 + 81
x + y = 90