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Nilai x yang memenuhi persamaan : adalah...

 Nilai x yang memenuhi persamaan :

blank to the power of 1 half end exponent log open parentheses x squared minus 3 close parentheses minus to the power of 1 half end exponent log x equals negative 1

 adalah...

  1. x = -1 atau x = 3

  2. x = 1 atau x = -3 

  3. x = 1 atau x = 3

  4. x = 1

  5. x = 3

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Jadi, nilai x yang memenuhi adalah

begin mathsize 14px style blank to the power of 1 half end exponent log open parentheses x squared minus 3 close parentheses minus to the power of 1 half end exponent log x equals negative 1 to the power of 1 half end exponent log open parentheses x squared minus 3 close parentheses minus to the power of 1 half end exponent log x equals to the power of 1 half end exponent log open parentheses 1 half close parentheses to the power of negative 1 end exponent to the power of 1 half end exponent log fraction numerator open parentheses x squared minus 3 close parentheses over denominator x end fraction equals to the power of 1 half end exponent log open parentheses 2 to the power of negative 1 end exponent close parentheses to the power of negative 1 end exponent to the power of 1 half end exponent log fraction numerator open parentheses x squared minus 3 close parentheses over denominator x end fraction equals to the power of 1 half end exponent log 2 to the power of 1 fraction numerator open parentheses x squared minus 3 close parentheses over denominator x end fraction equals 2 open parentheses x squared minus 3 close parentheses equals 2 x x squared minus 2 x minus 3 equals 0 left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis equals 0 x equals 3 space a t a u space x space equals negative 1 end style

 

begin mathsize 14px style Di space soal space ada space bentuk space to the power of 1 half end exponent log open parentheses straight x squared minus 3 close parentheses space dan space to the power of 1 half end exponent logx comma maka space nilai space straight x equals 3 space dan space straight x equals negative 1 space diuji ke space straight x squared minus 3 space dan space straight x comma space dan space harus space greater than 0  untuk space straight x equals 3 straight x squared minus 3 space equals 9 minus 3 equals 6 space left parenthesis memenuhi right parenthesis straight x equals 3 space left parenthesis memenuhi right parenthesis  untuk space straight x equals negative 1 straight x squared minus 3 space equals 1 minus 3 equals negative 2 space left parenthesis tidak space memenuhi right parenthesis straight x equals negative 1 space left parenthesis tidak space memenuhi right parenthesis end style

 

Jadi, nilai x yang memenuhi adalah

x equals 3

 

 

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