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Tentukan nilai logaritma berikut: c. 2log 4+2log 8

Pertanyaan

Tentukan nilai logaritma berikut:

c. scriptbase log space 4 end scriptbase presuperscript 2 plus scriptbase log space 8 end scriptbase presuperscript 2

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari scriptbase log space 4 end scriptbase presuperscript 2 plus scriptbase log space 8 end scriptbase presuperscript 2 adalah 5.

Pembahasan

Ingat bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 squared end cell equals 4 row cell 2 cubed end cell equals 8 end table

Maka

scriptbase log space 4 end scriptbase presuperscript 2 plus scriptbase log space 8 end scriptbase presuperscript 2 equals scriptbase log space 2 squared end scriptbase presuperscript 2 plus scriptbase log space 2 cubed end scriptbase presuperscript 2

Berdasarkan sifat logaritma

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell scriptbase log space b to the power of m equals m times scriptbase log space b end scriptbase presuperscript a end scriptbase presuperscript a end cell row blank blank cell scriptbase log space a end scriptbase presuperscript a equals 1 end cell end table

Maka

table attributes columnalign right center left columnspacing 0px end attributes row cell scriptbase log space 4 end scriptbase presuperscript 2 plus scriptbase log space 8 end scriptbase presuperscript 2 end cell equals cell scriptbase log space 2 squared end scriptbase presuperscript 2 plus scriptbase log space 2 cubed end scriptbase presuperscript 2 end cell row blank equals cell 2 times scriptbase log space 2 end scriptbase presuperscript 2 plus 3 times scriptbase log space 2 end scriptbase presuperscript 2 end cell row blank equals cell 2 times 1 plus 3 times 1 end cell row blank equals cell 2 plus 3 end cell row blank equals 5 end table

Dengan demikian, hasil dari scriptbase log space 4 end scriptbase presuperscript 2 plus scriptbase log space 8 end scriptbase presuperscript 2 adalah 5.

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