Question

( 5^x-(5 sqrt{3} ))*( 5^x+(5 sqrt{3} ))=50. calcular a raiz.

Answer 1

$(5^x-5 \sqrt{3})*(5^x+ 5\sqrt{3})=50 \\\\ 5^{2x}+5^{x+1} \sqrt{3}-5^{x+1} \sqrt{3}-25 \sqrt{9}=50 \\\\5^{2x}-25*3=50 \\\\5^{2x}=50+75 \\ \\ 5^{2x}=125 \\ \\ 5^{2x}=5^3 \\ \\ 2x=3 \\ \\ x= \frac{3}{2}$

S={3/2}