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Nilai dari 3 lo g 27 − 3 lo g 12 + 3 lo g 4 adalah ....

Nilai dari adalah 

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R. Febrianti

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

nilai

nilai scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 2. space end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3

Pembahasan

Berdasarkan definisi bilangan berpangkat maka sehingga Berdasarkan sifat logaritma maka Berdasarkan sifat logaritma maka Jadi nilai

Berdasarkan definisi bilangan berpangkat maka 27 equals 3 cubed comma sehingga

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 cubed minus scriptbase log open parentheses 3 cross times 4 close parentheses plus scriptbase log space 4 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell end table
 

Berdasarkan sifat logaritma scriptbase log space text b end text to the power of text m end text end exponent equals text m end text cross times end scriptbase presuperscript text a end text end presuperscript scriptbase log space text b end text space end scriptbase presuperscript text a end text end presuperscript text dan end text space scriptbase log open parentheses text b end text cross times text c end text close parentheses equals log presuperscript a space text b end text plus scriptbase log space text c end text comma end scriptbase presuperscript text a end text end presuperscript end scriptbase presuperscript text a end text end presuperscript maka

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 cubed minus scriptbase log space open parentheses 3 cross times 4 close parentheses plus scriptbase log space 4 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 3 cross times end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 minus scriptbase log space 3 minus scriptbase log space 4 end scriptbase presuperscript 3 plus scriptbase log space 4 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell end table end style


Berdasarkan sifat logaritma scriptbase log space text a end text equals 1 comma end scriptbase presuperscript text a end text end presuperscript maka

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 cubed minus scriptbase log open parentheses 3 cross times 4 close parentheses plus scriptbase log space 4 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 3 cross times end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 minus scriptbase log space 3 minus scriptbase log space 4 end scriptbase presuperscript 3 plus scriptbase log space 4 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 3 cross times end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 scriptbase log space 3 minus scriptbase log space 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 3 cross times end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 1 minus 1 end cell row blank blank cell scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 2 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3 end cell end table end style


Jadi nilai scriptbase log space 27 minus scriptbase log space 12 plus scriptbase log space 4 equals 2. space end scriptbase presuperscript 3 end scriptbase presuperscript 3 end scriptbase presuperscript 3

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