Question

solve for x if,
3^2x+1 - 4 (3^x) = -1​

Answer 1

Answer:

x=1.11772568, -0.48679593

I think this is right, hope it helps!

Answer 2

Answer:

$x= 1.117725689 , -0.486795935...$

Step-by-step explanation:

$3^{2x}+1-4(3^{x})=-1$

Let y=3^x

Rewrite in:

$y^2+1-4y=-1\\y^2-4y=-2\\(y-2)^2=2\\y=2+\sqrt{2}, 2-\sqrt{2} \\y=3^{x}\\x=log(y)/log(3)\\x=\frac{log(2+\sqrt{2} )}{log(3)} , \frac{log(2-\sqrt{2}) }{log(3)} \\\\x= 1.117725689 , -0.486795935...$