Pertanyaan

Jika 9 lo g 2 = 3 m maka nilai dari 4 lo g 6 = …

Jika $_{9} lo g 2 = 3 m$ maka nilai dari $_{4} lo g 6 = \dots$

$begin mathsize 14px style 1 half open parentheses 1 plus fraction numerator 1 over denominator 6 m end fraction close parentheses end style$

P. Anggrayni

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat sifat logaritma berikut ini. Diketahui: Sehingga, Maka jawaban yang tepat adalah D.

Ingat sifat logaritma berikut ini.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bold log presubscript blank presuperscript bold a to the power of bold y end presuperscript bold invisible function application bold italic b to the power of bold x end cell bold equals cell bold x over bold y bold times bold log presubscript blank presuperscript bold a bold invisible function application bold italic b end cell row cell bold log presubscript blank presuperscript bold a bold invisible function application bold italic b end cell bold equals cell fraction numerator bold 1 over denominator bold log presubscript blank presuperscript bold b bold invisible function application bold a end fraction end cell end table end style$

Diketahui:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript blank presuperscript 9 invisible function application 2 end cell equals cell 3 m end cell row cell log presubscript blank presuperscript 3 squared end presuperscript invisible function application 2 end cell equals cell 3 m end cell row cell 1 half times log presubscript blank presuperscript 3 invisible function application 2 end cell equals cell 3 m end cell row cell log presubscript blank presuperscript 3 invisible function application 2 end cell equals cell 2 over 1 times 3 m equals 6 m end cell row cell log presubscript blank presuperscript 2 invisible function application 3 end cell equals cell fraction numerator 1 over denominator 6 m end fraction end cell end table end style$

Sehingga,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript blank presuperscript 4 invisible function application 6 end cell equals cell log presubscript blank presuperscript 2 squared end presuperscript invisible function application 2 times 3 end cell row blank equals cell 1 half open parentheses log presubscript blank presuperscript 2 invisible function application 2 plus log presubscript blank presuperscript 2 invisible function application 3 close parentheses end cell row blank equals cell 1 half open parentheses 1 plus fraction numerator 1 over denominator 6 m end fraction close parentheses end cell end table end style$

Maka jawaban yang tepat adalah D.