Question

A raiz da equação (5^x -5√ 3).(5^x+5√ 3)=50

Answer 1

 Olá Augusto,
boa tarde!

$(5^x-5\sqrt{3})(5^x+5\sqrt{3})=50\\\\(5^x)^2-25\cdot3=50\\\\(5^x)^2=75+50\\\\5^{2x}=125\\\\5^{2x}=5^3\\\\2x=3\\\\\boxed{x=\frac{3}{2}}$