Pertanyaan

Nilai x yang. memenuhi persamaan 3 2 x + 3 = 5 2 7 x + 5 adalah ...

Nilai x yang. memenuhi persamaan $3^{2 x + 3} = 5 2 7^{x + 5}$ adalah ...

-2
-1
0
1
2

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$3 space to the power of 2 x plus 3 end exponent space equals space fifth root of 27 to the power of x plus 5 end exponent end root 3 space to the power of 2 x plus 3 end exponent space equals space fifth root of 3 to the power of 3 left parenthesis x plus 5 right parenthesis end exponent end root 3 space to the power of 2 x plus 3 end exponent space equals 3 to the power of fraction numerator 3 left parenthesis x plus 5 right parenthesis over denominator 5 end fraction end exponent 2 x plus 3 equals fraction numerator 3 left parenthesis x plus 5 right parenthesis over denominator 5 end fraction 2 x plus 3 equals fraction numerator 3 x plus 15 over denominator 5 end fraction 10 x space plus space 15 space equals space 3 x space plus space 15 7 x space equals space 0 X equals 0$