Answer:
[tex]x= 1.117725689 , -0.486795935...[/tex]
Step-by-step explanation:
[tex]3^{2x}+1-4(3^{x})=-1\\[/tex]
Let y=3^x
Rewrite in:
[tex]y^2+1-4y=-1\\y^2-4y=-2\\(y-2)^2=2\\y=2+\sqrt{2}, 2-\sqrt{2} \\y=3^{x}\\x=log(y)/log(3)\\x=\frac{log(2+\sqrt{2} )}{log(3)} , \frac{log(2-\sqrt{2}) }{log(3)} \\\\x= 1.117725689 , -0.486795935...[/tex]
