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Tentukan hasil logaritma berikut! c. a lo g b 1 ​ × b lo g c 2 1 ​ × c lo g d 3 1 ​ × d lo g e 4 1 ​ × e lo g a 5 1 ​

Tentukan hasil logaritma berikut!

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N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

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begin mathsize 12px style space space to the power of a log space 1 over b cross times to the power of b log space 1 over c squared cross times to the power of c log space 1 over d cubed cross times space to the power of d log 1 over e to the power of 4 cross times to the power of e log space 1 over a to the power of 5 equals negative 120 end style

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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 1 over b end cell equals cell negative to the power of a log space b to the power of a log space b to the power of m equals 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 

begin mathsize 12px style space space to the power of a log space 1 over b cross times to the power of b log space 1 over c squared cross times to the power of c log space 1 over d cubed cross times space to the power of d log 1 over e to the power of 4 cross times to the power of e log space 1 over a to the power of 5 equals open parentheses negative to the power of a log space b close parentheses cross times open parentheses negative to the power of b log space c squared close parentheses cross times open parentheses negative to the power of c log space d cubed close parentheses cross times space open parentheses negative to the power of d log space e to the power of 4 close parentheses cross times open parentheses negative to the power of e log space a to the power of 5 close parentheses equals negative open parentheses 2 cross times 3 cross times 4 cross times 5 close parentheses cross times open parentheses blank to the power of a log space b cross times to the power of b log space c cross times to the power of c log space d cross times to the power of d log space e cross times to the power of e log space a close parentheses equals negative 120 cross times to the power of a log space a equals negative 120 cross times 1 equals negative 120 end style  

Dengan demikian,begin mathsize 12px style space space to the power of a log space 1 over b cross times to the power of b log space 1 over c squared cross times to the power of c log space 1 over d cubed cross times space to the power of d log 1 over e to the power of 4 cross times to the power of e log space 1 over a to the power of 5 equals negative 120 end style

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