3log x^5 +3log y = 142 3log x + 3log y=6 nilai x+y=

Bab Logaritma
Matematika SMA KelasX

³log x⁵ + ³log y = 142
³log (x⁵y) = 142
x⁵y = 3¹⁴²

³log x + ³log y = 6
³log (xy) = 6
xy = 3⁶

x⁵y = 3¹⁴²
x⁴ (xy) = 3¹⁴²
x⁴ = 3¹⁴² : 3⁶
x = (3¹⁴²⁻⁶)^(1/4)
x = 3^(136 / 4)
x = 3³⁴

xy = 3⁶
y = 3⁶ : x
y = 3⁶ : 3³⁴
y = 3⁶⁻³⁴
y = 3⁻²⁸

x + y = 3³⁴ + 3⁻²⁸