Question

Resolva a equação 5^2x-6.5^x=-5

Answer 1

$5^{2x}-6.5^x=-5$

Completando quadrado:

$5^{2x}-6.5^x+9=-5+9 [tex](5^x-3)^2=4$9 [/tex]

$5^x-3=2$  $5^x=5 \ \textgreater \ \ \textgreater \ x=1$

ou

$5^x-3=-2$ $5^x=1=5^0 \ \textgreater \ \ \textgreater \ \ \textgreater \ x=0$