Re: Real



Ok!
f(x) = 5^x (1 + (2/5)^x - (4/5)^x - (3/5)^x) > 5^x (1 - (4/5)^x - (3/5)^x)
Now g_1(x) = 1 - (4/5)^x - (3/5)^x is increasing and g_1(2) = 0, so there are no solutions for x > 2.
My doubt is how can you affirm that there are no solutions for x>2 in this case.
For example for x=3 we have g_1(3)>0
and f(x)>5^x*g_1(x) and ??
.