Question

resolva a equação , mi ajudem pfvvvvvv

Answer 1

${3}^{x + 2} + {3}^{x} = 50 \\ {3}^{x} \cdot {3}^{2} + {3}^{x} = 50 \\ {3}^{x}({3}^{2} + 1) = 50 \\ {3}^{x}(9 + 1) = 50 \\ {3}^{x} \cdot 10 = 50 \\ {3}^{x} = 5 \\ \log{ {3}^{x} } = \log{5} \\x \cdot \log{3} = \log{5} \\ \\ \boxed{x = \frac{ \log{5} }{ \log{3} }}$