Question

9 la puterea x+1 - 4X 3 la puterea 2x=45

Answer 1

    
$9^{(x+1)}-4*3^{2x}=45 \\ (3^2)^{(x+1)}-4*3^{2x}=45 \\ 3^{2(x+1)}-4*3^{2x}=45 \\ 3^{(2x+2)}-4*3^{2x}=45 \\ 3^{2x}*3^{2}-4*3^{2x}=45 \\ 9*3^{2x}-4*3^{2x}=45 \\ (9-4)*3^{2x}=45 \\ 5*3^{2x}=45 \\ 3^{2x}= \frac{45}{5} \\ 3^{2x}= 9 \\ 3^{2x}= 3^{2} \\ 2x=2 \\ x= \frac{2}{2} =\boxed{1}$