Question

ayuda 3^x-1+3^x+3^x+3=13

Answer 1

${3}^{x - 1} + 3^{x} + 3 ^{x + 3} = 13 \\ \\ 3 ^{x} . \: \frac{1}{ {3}^{1} } + {3}^{x} + {3 }^{x} . \: {3}^{3} = 13 \\ \frac{1}{3} . \: 3 ^{x} + {3}^{x} + 27 \: . \: {3}^{x} = 13 \\ \frac{85}{3} . \: {3}^{x} = 13 \\ {3}^{x} = \frac{13(3)}{85} \\ {3}^{x} = 0.4588 \\ x log(3) = log(0.4588) \\ x = \frac{ log(0.4588) }{ log(3) } \\ x = - 0.7092$