Question

resolver a expressao 3^x = 5^x + 5^ (x+1)

Answer 1

               $3^x=5^x+5^{x+1}\\ \\ 3^x=5^x(1+5)\\ \\ 3^x=6\cdot 5^x\\ \\ \dfrac{3^x}{5^x}=6\\ \\ \left(\dfrac{3}{5}\right)^x=6\\ \\ \\ x=\dfrac{\log 6}{\log \dfrac{3}{5}}\\ \\ \\ \boxed{x=\dfrac{\log 6}{\log 3 - \log 5}}$