Question

resolva a equação exponencial a seguir:
c)2^(x^2-7x)=1/1024

Answer 1

2^(x^2-7x)=1/1024
2^(x^2-7x)=1/2^10
2^(x^2-7x)=2^-10
x^2-7x=-10
x^2-7x+10=0
delta=b^2-4ac
delta=(-7)^2-4.1.10
delta=49-40
delta=9
x=-b-/+ raiz de delta/2a
x=-(-7)-3/2.1
x=7-3/2
x=4/2
x=2
x=-(-7)+3/2.1
x=7+3/2
x=10/2
x=5