Question

How do I solve this math equation. I am completely lost. e^2x=e^x^2-24

Answer 1

$e^{2x}=e^{x^2-24}\\ 2x=x^2-24\\ x^2-2x-24=0\\ x^2-2x+1-25=0\\ (x-1)^2=25\\ x-1=5 \vee x-1=-5\\ x=6 \vee x=-4$