Question

1) resolva as equações de função exponencial , e urgente glr, vlw

Answer 1

$3^x = 81\\\\\ 3^x = 3^4\\\\\ \boxed{x=4}$

$5^x -625 = 0\\\\ 5^x = 625\\\\ 5^x = 5^4\\\\\ \boxed{x=4}$

$\sqrt{11} = 11^2^x\\\\ 11^\frac{1}{2} = 11^2^x\\\\ \frac{1}{2} = 2x\\\\\ x = \frac{\frac{1}{2}}{2}\\\\ \boxed{x=\frac{1}{4}}$

$25^x= \sqrt[3]{5} \\\\\ 5^2^x = 5^\frac{1}{3}\\\\ 2x = \frac{1}{3}\\\\ \boxed{x=\frac{1}{6}}$

$(\frac{5}{2})^x = (\frac{125}{8})\\\\ (\frac{5}{2})^x = (\frac{5^3}{2^3})\\\\ (\frac{5}{2})^x = (\frac{5}{2})^3\\\\ \boxed{x=3}$