Pertanyaan

Nilai x yang memenuhi persamaan 9 x + 1 = 4 2 7 2 x − 1 adalah ....

Nilai x yang memenuhi persamaan $9^{x + 1} = 4 2 7^{2 x - 1}$ adalah ....

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$9 to the power of straight x plus 1 end exponent equals fourth root of 27 to the power of 3 straight x minus 1 end exponent end root 3 to the power of 2 left parenthesis straight x plus 1 right parenthesis end exponent equals 3 to the power of fraction numerator 3 left parenthesis 3 straight x minus 1 right parenthesis over denominator 4 end fraction end exponent 2 left parenthesis straight x plus 1 right parenthesis equals fraction numerator 3 left parenthesis 3 straight x minus 1 right parenthesis over denominator 4 end fraction 2 space cross times space 4 left parenthesis straight x plus 1 right parenthesis equals 3 left parenthesis 3 straight x minus 1 right parenthesis 8 straight x plus 8 equals 9 straight x minus 3 left right double arrow straight x equals 11$