Pertanyaan

Diketahui f ( x ) = 3 2 x + 3 3 − 2 x . Jika f ( a ) = f ( b ) = 28 , maka a+b=...

Diketahui $f (x) = 3^{2 x} + 3^{3 - 2 x}$ . Jika $f (a) = f (b) = 28$ , maka a+b=...

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

a+b = 0 +

Pembahasan

misalkan Misalkan a=0 dan b= Jadi, a+b = 0 +

3 to the power of 2 x end exponent plus 3 to the power of 3 minus 2 x end exponent equals 28 3 to the power of 2 x end exponent plus 27 over 3 to the power of 2 x end exponent equals 28

misalkan

$fraction numerator y plus begin display style 27 over y end style equals 28 over denominator blank end fraction space space space space space space space x y$
y squared minus 28 y plus 27 equals 0 left parenthesis y minus 1 right parenthesis left parenthesis y minus 27 right parenthesis equals 0 y equals 1 space logical or space y equals 27 3 to the power of 2 x end exponent equals 1 space logical or space 3 to the power of 2 x end exponent equals 27 x equals 0 space logical or space x equals 3 over 2

Misalkan a=0 dan b=

Jadi, a+b = 0 +