Question

Pertanyaan masalah logaritma nomor 5, beserta caranya ya ka:))

Answer 1

Verified answer

9 - log^2 x^3 y^3 / 1 + 2.log x^2 y -log x^5 y^3
selesaikan pembilang
= 3^2 - ( log x^3 y^3 )^2
= ( 3 + log x^3 y^3)( 3 - log x^3 y^3)
= (3 + log (x.y)^3 ) (3 - log (x.y)^3
= ( 3 + 3.log x.y ) (3 - 3.log x.y)
= 3( 1 + log x.y) 3( 1 - log x.y)
= 9 ( 1 + log x.y ) ( 1 - log x.y)
Penyebut
= 1 + 2.log x^2.y - log x^5.y^3
= 1 + log (x^2.y)^2 - log x^5.y^3
= 1 + log x^4.y^2 - log x^5.y^3
= 1 + log (x^4.y^2)/(x^5.y^3)
= 1 + log x^-1.y^-1
= 1 + log (x.y)^-1
= 1 - log x.y
Pembilang / penyebut
= 9(1+log x.y)(1-log x.y) / (1-log x.y)
= 9 ( 1 + log x.y)
= 9 ( log 10 + log x.y)
= 9.log 10xy...(C)