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Jika log2=0,3010  dan 5x=400 maka x=…

Pertanyaan

Jika log invisible function application 2 equals 0 comma 3010 space dan 5 to the power of x equals 400 maka x equals horizontal ellipsis

  1. 2,40

  2. 3,72

  3. 4,36

  4. 5,72

  5. 6,36

M. Iqbal

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Ingat sifat-sifat pada bentuk logaritma yaitu 

  • scriptbase log invisible function application f left parenthesis x right parenthesis end scriptbase presuperscript a equals scriptbase log invisible function application b end scriptbase presuperscript a rightwards arrow f open parentheses x close parentheses equals b
  • scriptbase log invisible function application b to the power of m end scriptbase presuperscript a equals m times scriptbase log invisible function application b end scriptbase presuperscript a
  • scriptbase log invisible function application b end scriptbase presuperscript a plus scriptbase log invisible function application c end scriptbase presuperscript a equals scriptbase log invisible function application b c end scriptbase presuperscript a

serta ingat juga logaritma dengan basis 10.

Sehingga akan diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell 5 to the power of x end cell equals 400 row cell log invisible function application 5 to the power of x end cell equals cell log invisible function application 400 end cell row cell x log invisible function application 5 end cell equals cell log invisible function application open parentheses 4 times 100 close parentheses end cell row cell x log invisible function application 5 end cell equals cell log invisible function application 4 plus log invisible function application 100 end cell row cell x log invisible function application 5 end cell equals cell log invisible function application 2 squared plus log invisible function application 100 end cell row cell x log invisible function application 5 end cell equals cell 2 times log invisible function application 2 plus 2 end cell row x equals cell fraction numerator 2 times log invisible function application 2 plus 2 over denominator log invisible function application 5 end fraction end cell row blank equals cell fraction numerator 2 times 0 , 3010 plus 2 over denominator 0 , 6989 end fraction end cell row blank equals cell fraction numerator 0 , 6020 plus 2 over denominator 0 , 6989 end fraction end cell row blank equals cell fraction numerator 2 , 6020 over denominator 0 , 6989 end fraction end cell row blank equals cell 3 , 72 end cell end table

Jadi, dapat disimpulkan bahwa jika log invisible function application 2 equals 0 , 3010 dan 5 to the power of x equals 400 maka x equals 3 , 72.

Oleh karena itu, jawaban yang benar adalah B.

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