²log x + ²logy³ = 13
²log x - ²logy = 5
nilai x+y ?
a.48 b.64 c.72 d.132 e.144
²log x - ²logy = 5
nilai x+y ?
a.48 b.64 c.72 d.132 e.144
rirismaulidina
![^2log~x+^2log~y^3=13 \\ ^2log(x*y^3)=^2log~2^1^3 \\ x*y^3=2^13 (pers...1)\\ \\ ^2log~x-^2log~y=5 \\ ^2log~ \frac{x}{y} =^2log2^5 \\ \frac{x}{y} =2^5 \\ x=y*2^5 (pers..2)\\ \\ x*y^3=2^1^3~~(masukkan~pers..2) \\ y*2^5*y^3=2^1^3 \\ y^4=2^8 \\ y^4=256 \\ y= \sqrt[4]{256} \\ y=4 \\ \\ x*(4)^3=2^1^3 \\ x*(2^2)^3=2^1^3 \\ x*2^6=2^1^3 \\ x=2^7 \\ x=128 \\ \\ x+y=128+4=132~(D)](https://tex.z-dn.net/?f=+%5E2log%7Ex%2B%5E2log%7Ey%5E3%3D13+%5C%5C+%5E2log%28x%2Ay%5E3%29%3D%5E2log%7E2%5E1%5E3+%5C%5C+x%2Ay%5E3%3D2%5E13+%28pers...1%29%5C%5C++%5C%5C+%5E2log%7Ex-%5E2log%7Ey%3D5+%5C%5C+%5E2log%7E+%5Cfrac%7Bx%7D%7By%7D+%3D%5E2log2%5E5+%5C%5C++%5Cfrac%7Bx%7D%7By%7D+%3D2%5E5+%5C%5C+x%3Dy%2A2%5E5+%28pers..2%29%5C%5C++%5C%5C+x%2Ay%5E3%3D2%5E1%5E3%7E%7E%28masukkan%7Epers..2%29+%5C%5C+y%2A2%5E5%2Ay%5E3%3D2%5E1%5E3+%5C%5C+y%5E4%3D2%5E8+%5C%5C+y%5E4%3D256+%5C%5C+y%3D+%5Csqrt%5B4%5D%7B256%7D++%5C%5C+y%3D4+%5C%5C++%5C%5C+x%2A%284%29%5E3%3D2%5E1%5E3+%5C%5C+x%2A%282%5E2%29%5E3%3D2%5E1%5E3+%5C%5C+x%2A2%5E6%3D2%5E1%5E3+%5C%5C+x%3D2%5E7+%5C%5C+x%3D128+%5C%5C++%5C%5C+x%2By%3D128%2B4%3D132%7E%28D%29 "^2log~x+^2log~y^3=13 \\ ^2log(x*y^3)=^2log~2^1^3 \\ x*y^3=2^13 (pers...1)\\ \\ ^2log~x-^2log~y=5 \\ ^2log~ \frac{x}{y} =^2log2^5 \\ \frac{x}{y} =2^5 \\ x=y*2^5 (pers..2)\\ \\ x*y^3=2^1^3~~(masukkan~pers..2) \\ y*2^5*y^3=2^1^3 \\ y^4=2^8 \\ y^4=256 \\ y= \sqrt[4]{256} \\ y=4 \\ \\ x*(4)^3=2^1^3 \\ x*(2^2)^3=2^1^3 \\ x*2^6=2^1^3 \\ x=2^7 \\ x=128 \\ \\ x+y=128+4=132~(D)")
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