Question

Resolva em R as seguinte equaçao : 5^x=5^x²

Answer 1

$5^x=5^{x^2}\\ \not5^x=\not5^{x^2}\\\\ x=x^2\\ x^2-x=0\\ x(x-1)=0\\\\ x_1=0~~~~e~~~~x-1=0~~\Rightarrow~~ x_2=1~\\\\\\ \text{S}=\{0,1\}$