Question

questão 6 - a soma das raízes da equação (3 elevado a x ) elevado a x = 9 ( elevado a 8)

Answer 1

$(3^x)^x=9^8\\ 3^{x^2}=(3^2)^8\\ \not3^{x^2}=\not3^{16}\\\\ x^2=16\\ x=\pm \sqrt{16}\\\\ x=\pm4\\\\ x_1=4~~~e~~~x_2=-4\\\\\\ x_1+x_2=4+(-4)\\ x_1+x_2=4-4\\\\ \Large\boxed{x_1+x_2=0}$