Question

só a letras g), h), o), p), alguém pode me ajudar, com cálculos.

Answer 1

g) 5^x = \sqrt[3]{625} \\\\5^x = \sqrt[3]{5^4} \\\\5^x = 5^\frac{4}{3} \\ \\x = \frac{4}{3}\\\\h) 2^x = \sqrt{32} \\\\2^x =  \sqrt{2^5} \\\\2^x = 2^\frac{5}{2} \\\\x = \frac{5}{2}\\ \\\\o)5^x^-^2 = 25^2^x\\ \\5^x^-^2 = (5^2)^2^x\\5^x^-^2= 5^4^x\\\\x-2 = 4x\\ \\x = 4x +2\\\\x-4x = 2\\\\-3x=2\\\\x= -\frac{3}{2} \\\\\\p)(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 = \frac{-(-1)+-\sqrt{(-1)^2 - 4*(-2)}} {2*1} \\x_1 = -1;  x_2 = 2[/tex]