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Pertanyaan

Diketahui . Nilai 2x = ⋯

Diketahui begin mathsize 14px style log presubscript presuperscript 2 invisible function application log presubscript presuperscript 2 invisible function application x equals log presubscript presuperscript 2 invisible function application open parentheses 3 minus 1 half log presubscript presuperscript 2 invisible function application x close parentheses plus 2 end style. Nilai 2x = ⋯

  1. 24

  2. 26

  3. 30

  4. 32

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A. Aryo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

Pembahasan

Ingat kembali sifat logaritma berikut ini. Sehingga, Dengan demikian, didapat bahwa . Jadi, jawaban yang tepat adalah D.

Ingat kembali sifat logaritma berikut ini.

begin mathsize 14px style bold log presubscript bold presuperscript bold a bold invisible function application bold italic x bold plus bold log presubscript bold presuperscript bold a bold invisible function application bold italic y bold minus bold log presubscript bold presuperscript bold a bold invisible function application bold italic z bold equals bold log presubscript bold presuperscript bold a bold invisible function application open parentheses fraction numerator bold x bold y over denominator bold z end fraction close parentheses end style

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript blank presuperscript 2 invisible function application log presubscript blank presuperscript 2 invisible function application x end cell equals cell log presubscript blank presuperscript 2 invisible function application open parentheses 3 minus 1 half log presubscript blank presuperscript 2 invisible function application x close parentheses plus 2 end cell row cell log presubscript blank presuperscript 2 invisible function application log presubscript blank presuperscript 2 invisible function application x end cell equals cell log presubscript blank presuperscript 2 invisible function application open parentheses 3 minus 1 half log presubscript blank presuperscript 2 invisible function application x close parentheses plus log presubscript blank presuperscript 2 invisible function application 4 end cell row cell log presubscript blank presuperscript 2 invisible function application log presubscript blank presuperscript 2 invisible function application x end cell equals cell log presubscript blank presuperscript 2 invisible function application open square brackets open parentheses 3 minus 1 half log presubscript blank presuperscript 2 invisible function application x close parentheses open parentheses 4 close parentheses close square brackets end cell row cell log presubscript blank presuperscript 2 invisible function application x end cell equals cell open parentheses 3 minus 1 half log presubscript blank presuperscript 2 invisible function application x close parentheses open parentheses 4 close parentheses end cell row cell log presubscript blank presuperscript 2 invisible function application x end cell equals cell 12 minus 2 log presubscript blank presuperscript 2 invisible function application x end cell row cell 3. log presubscript blank presuperscript 2 invisible function application x end cell equals 12 row cell log presubscript blank presuperscript 2 invisible function application x end cell equals 4 row x equals cell 2 to the power of 4 end cell row x equals 16 end table  

Dengan demikian, didapat bahwa 2 x equals 2 times 16 equals 32.

Jadi, jawaban yang tepat adalah D.

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