Pertanyaan

Jika x adalah bilangan real yang memenuhi , maka 2 x 1 − 2 − x 1 = ....

Jika x adalah bilangan real yang memenuhi , maka $\frac{1}{2 ^{x}} - \frac{1}{2 ^{- x}}$ = ....

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style 2 cubed plus 4 bullet 2 to the power of negative open parentheses 2 plus x close parentheses end exponent minus 2 to the power of 2 open parentheses 1 minus x close parentheses end exponent over 2 equals 2 8 plus 4 bullet 1 over 2 to the power of 2 plus x end exponent minus 2 to the power of 2 minus 2 x end exponent over 2 equals 2 8 plus 4 bullet fraction numerator 1 over denominator 2 squared bullet 2 to the power of x end fraction minus 1 half bullet 2 squared over 2 to the power of 2 x end exponent equals 2 8 plus 1 over 2 to the power of x minus 2 over 2 to the power of 2 x end exponent equals 2 6 plus 1 over 2 to the power of x minus 2 over 2 to the power of 2 x end exponent equals 0 6 plus 1 over 2 to the power of x minus 2 over open parentheses 2 to the power of x close parentheses squared equals 0 text Misalkan end text z equals 2 to the power of x text , maka end text 6 plus 1 over z minus 2 over z squared equals 0 text Kalikan end text z squared text , maka end text 6 z squared plus z minus 2 equals 0 open parentheses 3 z plus 2 close parentheses open parentheses 2 z minus 1 close parentheses equals 0 z equals negative 2 over 3 text atau end text z equals 1 half text Misalkan end text z equals negative 2 over 3 text , maka end text z equals negative 2 over 3 2 to the power of x equals negative 2 over 3 text Karena end text 2 to the power of x greater than 0 text , maka tidak ada nilai x yang memenuhi. end text text Misalkan end text z equals 1 half text , maka end text z equals 1 half 2 to the power of x equals 2 to the power of negative 1 end exponent x equals negative 1 text Maka end text 1 over 2 to the power of x minus 1 over 2 to the power of negative x end exponent equals 1 over 2 to the power of negative 1 end exponent minus 1 over 2 to the power of negative open parentheses negative 1 close parentheses end exponent equals 1 over 2 to the power of negative 1 end exponent minus 1 over 2 to the power of 1 equals 2 minus 1 half equals 3 over 2 end style$