Jika p=(alog 2)(a2blog 4), maka p1​=....

Pertanyaan

Jika begin mathsize 14px style p equals open parentheses log presuperscript a space 2 close parentheses open parentheses log presuperscript a squared b end presuperscript space 4 close parentheses end style, maka begin mathsize 14px style 1 over p equals end style....

  1. begin mathsize 14px style 2 log presuperscript 2 space a plus log presuperscript 2 space square root of a space log presuperscript 2 space b end style 

  2. begin mathsize 14px style 2 log presuperscript 2 space a plus 1 half space log presuperscript 2 space a b end style 

  3. begin mathsize 14px style left parenthesis log presuperscript 2 space a right parenthesis squared plus 1 half log presuperscript 2 space a space log presuperscript 2 space b end style 

  4. begin mathsize 14px style left parenthesis log presuperscript 2 space a right parenthesis squared plus 1 half space log presuperscript 2 space a b end style 

  5. begin mathsize 14px style left parenthesis log presuperscript 2 space a right parenthesis squared plus log presuperscript 2 space square root of a b end root end style 

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 over p end cell equals cell open parentheses log presuperscript 2 space a close parentheses open parentheses log presuperscript 4 space a to the power of 2 space end exponent b close parentheses end cell row blank equals cell log presuperscript 2 space a open parentheses log presuperscript 4 space a to the power of 2 space end exponent plus log presuperscript 4 space b close parentheses end cell row blank equals cell log presuperscript 2 space a open parentheses log presuperscript 2 squared end presuperscript space a to the power of 2 space end exponent plus log presuperscript 2 squared end presuperscript space b close parentheses end cell row blank equals cell log presuperscript 2 space a open parentheses log presuperscript 2 space a plus 1 half log presuperscript 2 space b close parentheses end cell row blank equals cell open parentheses log presuperscript 2 space a close parentheses squared plus 1 half log presuperscript 2 space a log presuperscript 2 space b end cell end table end style

Oleh karena itu, jawaban yang tepat adalah C.

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