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Nilai x yang memenuhi persamaan adalah ….

Nilai x yang memenuhi persamaan begin mathsize 14px style log presubscript blank presuperscript 3 invisible function application log presubscript blank presuperscript 3 invisible function application open parentheses 3 to the power of straight x plus 2 end exponent plus 10 close parentheses equals log presubscript blank presuperscript 3 invisible function application 2 plus log presubscript blank presuperscript 3 invisible function application straight x end style adalah ….

  1. begin mathsize 14px style straight x equals log presubscript blank presuperscript blank invisible function application 3 end style 

  2. begin mathsize 14px style straight x equals log presubscript blank presuperscript blank invisible function application 2 end style 

  3. begin mathsize 14px style straight x equals log presubscript blank presuperscript 3 invisible function application 2 end style 

  4. begin mathsize 14px style straight x equals log presubscript blank presuperscript 3 invisible function application 10 end style 

  5. begin mathsize 14px style log space 10 end style 

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Jawaban terverifikasi

Jawaban

jawaban yang memenuhi adalah .

jawaban yang memenuhi adalah begin mathsize 14px style straight x equals log presuperscript 3 space 10 end style.

Pembahasan

Pertama-tama perhatikan syarat numerus yaitu x > 0 Kemudian, Misalkan maka Jadi, jawaban yang memenuhi adalah .

Pertama-tama perhatikan syarat numerus yaitu

x > 0

Kemudian,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell log presubscript blank presuperscript 3 invisible function application log presubscript blank presuperscript 3 invisible function application open parentheses 3 to the power of straight x plus 2 end exponent plus 10 close parentheses end cell equals cell log presubscript blank presuperscript 3 invisible function application 2 plus log presubscript blank presuperscript 3 invisible function application straight x end cell row cell log presubscript blank presuperscript 3 invisible function application log presubscript blank presuperscript 3 invisible function application open parentheses 3 to the power of straight x plus 2 end exponent plus 10 close parentheses end cell equals cell log presubscript blank presuperscript 3 invisible function application 2 straight x end cell row cell log presubscript blank presuperscript 3 invisible function application open parentheses 3 to the power of straight x plus 2 end exponent plus 10 close parentheses end cell equals cell 2 straight x end cell row cell 3 to the power of straight x plus 2 end exponent plus 10 end cell equals cell 3 to the power of 2 straight x end exponent end cell row cell 3 to the power of straight x times 3 squared plus 10 end cell equals cell open parentheses 3 to the power of straight x close parentheses squared end cell row cell 3 to the power of straight x times 9 plus 10 end cell equals cell open parentheses 3 to the power of straight x close parentheses squared end cell end table end style 

Misalkan begin mathsize 14px style 3 to the power of straight x equals straight a end style maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 9 straight a plus 10 end cell equals cell straight a squared end cell row cell 9 straight a plus 10 minus 9 straight a minus 10 end cell equals cell straight a squared minus 9 straight a minus 10 end cell row 0 equals cell space straight a squared minus 9 straight a minus 10 end cell row cell space straight a squared minus 9 straight a minus 10 end cell equals 0 row cell space left parenthesis straight a plus 1 right parenthesis left parenthesis straight a minus 10 right parenthesis end cell equals cell 0 space end cell row straight a equals cell negative 1 space atau space straight a equals 10 end cell row cell space straight a end cell equals cell negative 1 rightwards arrow 3 to the power of straight x equals negative 1 left parenthesis tidak space ada space nilai space straight x space yang space memenuhi right parenthesis end cell row cell space straight a end cell equals cell 10 rightwards arrow 3 to the power of straight x equals 10 rightwards arrow straight x equals log presuperscript 3 space 10 end cell end table end style   

Jadi, jawaban yang memenuhi adalah begin mathsize 14px style straight x equals log presuperscript 3 space 10 end style.

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