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3log 17+3log 5−3log 10 =  ....

Pertanyaan

log presuperscript 3 space 17 plus log presuperscript 3 space 5 minus log presuperscript 3 space 10 space equals space space....

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

 log presuperscript 3 space 17 plus log presuperscript 3 space 5 minus log presuperscript 3 space 10 space equals space space log presuperscript 3 space 17 over 2.

Pembahasan

Ingat kembali sifat logaritma 

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript a space b c end cell equals cell log presuperscript a space b plus log presuperscript a space c end cell row cell log presuperscript a space b over c end cell equals cell log presuperscript a space b minus log presuperscript a space c end cell row cell log presuperscript a space b to the power of m end cell equals cell m log presuperscript a space b end cell end table

sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript 3 space 17 plus log presuperscript 3 space 5 minus log presuperscript 3 space 10 space end cell equals cell space space log presuperscript 3 space 17 plus log presuperscript 3 space 5 over 10 end cell row blank equals cell space space log presuperscript 3 space 17 times 1 half end cell row blank equals cell space space log presuperscript 3 space 17 over 2 end cell end table

Jadi, log presuperscript 3 space 17 plus log presuperscript 3 space 5 minus log presuperscript 3 space 10 space equals space space log presuperscript 3 space 17 over 2.

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Pertanyaan serupa

Nilai dari 5log 10+5log 50−5log 4 adalah ....

391

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