5^x + (2✓3)^2x >=13^x , then solution set for x is.................

5^x+(2√3)^x=13^x

5^x+12^x=13^x

5²+13²=13²

Now,if x=2 then,5²+12²=13²,which is true.(by fermat last theorem,we have no existence of x as an  integral value greater than 2 such that 

a^x+b^x=c^x

Also,for x=0,1 given equation is not satisfied.

Hence,in given equation integral value of x is 2 only.

5^x+(2√3)^2x=13^x

5^x+12^x=13^x

If x=2 then,5²+13²=13²,which is true.

Now,by fermat laat theorem,we have no existence of x as an integral value greater than 2 such that

a^x+b^x=c^x 

Also,for x=0,1 the given equation is not satisfied

Hence,in the given equation integral value of x is 2 only.