Question

25^2x+1=5^18; 4^3x-1=2^10;

Answer 1

[tex]25^{2x+1}=5^{18}\\ 25^{2x+1}=(5^2)^9\\ 25^{2x+1}=25^9\\ 2x+1=9\\ 2x=8=\ \textgreater \ x=4\\ 4^{3x-1}=2^{10}\\ 4^{3x-1}=(2^2)^5\\ 4^{3x-1}=4^5\\ 4^{3x-1}=4^5\\ 3x-1=5\\ 3x=6=\ \textgreater \ x=2[/tex]