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Tentukan hasil logaritma berikut! a. 2 lo g 25 × 5 lo g 16

Tentukan hasil logaritma berikut!

a.     

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L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

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 space squared log space 25 cross times to the power of 5 log space 16 equals 8

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Pembahasan

Ingat sifat logaritma Sehingga Dengan demikian, .

Ingat sifat logaritma 

table attributes columnalign right center left columnspacing 0px end attributes row cell blank to the power of a log space b to the power of m end cell equals cell m cross times to the power of a log space b to the power of a log space b cross times to the power of b log space c equals to the power of a log space c end cell end table 

Sehingga 

table attributes columnalign right center left columnspacing 0px end attributes row cell space squared log space 25 cross times to the power of 5 log space 16 end cell equals cell space squared log space 5 squared cross times to the power of 5 log space 2 to the power of 4 end cell row blank equals cell space open parentheses 2 cross times squared log space 5 close parentheses cross times open parentheses 4 cross times to the power of 5 log space 2 close parentheses end cell row blank equals cell open parentheses 2 cross times 4 close parentheses open parentheses blank squared log space 5 cross times to the power of 5 log space 2 close parentheses end cell row blank equals cell 8 cross times squared log space 2 end cell row blank equals cell 8 cross times 1 end cell row blank equals 8 end table 

Dengan demikian, space squared log space 25 cross times to the power of 5 log space 16 equals 8

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