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Hasil dari begin mathsize 14px style fraction numerator blank cubed log space 5. to the power of square root of 5 end exponent log space 9 plus to the power of 8 log space 2 over denominator blank squared log space 12 minus squared log space 3 end fraction equals horizontal ellipsis end style 

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Sebelum menjawab soal tersebut, maka kita harus mengetahui sifat-sifat logaritma sebagai berikut:

1. begin mathsize 14px style blank to the power of a log space b plus to the power of a log space c equals to the power of a log space b times c end style 

2. begin mathsize 14px style blank to the power of a log space b minus to the power of a log space c equals to the power of a log space b over c end style 

3. begin mathsize 14px style blank to the power of a log space b times to the power of b log space c equals to the power of a log space c end style 

4. begin mathsize 14px style blank to the power of a to the power of m end exponent log space b to the power of n equals n over m to the power of a log space b end style 

5. begin mathsize 14px style blank to the power of a log space a equals 1 end style 

sehingga hasil dari

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator blank cubed log space 5. to the power of square root of 5 end exponent log space 9 plus to the power of 8 log space 2 over denominator blank squared log space 12 minus squared log space 3 end fraction end cell row blank equals cell fraction numerator blank cubed log space 5. to the power of 5 to the power of begin display style 1 half end style end exponent end exponent log space 3 squared plus to the power of 2 cubed end exponent log space 2 over denominator blank squared log space begin display style 12 over 3 end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 2 over denominator begin display style bevelled 1 half end style end fraction end style cubed log space 5. to the power of 5 log space 3 plus begin display style 1 third end style squared log space 2 over denominator blank squared log space begin display style 2 squared end style end fraction end cell row blank equals cell fraction numerator begin display style 4 times cubed log space 3 plus 1 third squared log space 2 end style over denominator 2 times squared log space begin display style 2 end style end fraction end cell row blank equals cell fraction numerator 4 plus begin display style 1 third end style over denominator 2 end fraction end cell row blank equals cell fraction numerator begin display style 13 over 3 end style over denominator 2 end fraction end cell row blank equals cell 13 over 6 end cell end table end style 

 

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