Question

Diketahui sistem persamaan
2log x + 2 log y^3 =13
2log x - 2 log y = 5
Nilai x + y adalah...

Answer 1

Verified answer

2log(xy³)=2log2¹³
xy³=2¹³ …(1)
2log(x/y)=2log32
x/y=32 …(2)
x=32y
(32y)y³=2¹³
y⁴=2^13-5
y⁴=2^8
y=⁴√256
y=4 = 2²
x=2^5×2^2 = 2^7
x+y= 2^7+2^2 = 128+4= 132