Question

Resolva a equação (3 elevado a x ) elevado a x -1 = 9 ?

Answer 1

Resposta:

$(3^{x})^{x-1}=9\\3^{x*(x-1)}=3^{2}\\3^{x^{2}-x}=3^{2}\\x^{2}-x=2\\x^{2}-x-2=0\\\\(x-2)*(x+1)=0\\x-2=0\\\boxed{x=2}\\\\x+1=0\\\boxed{x=-1}\\\\Solucao;\\(2,-1)$

Explicação passo-a-passo: