Question

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

Answer 1

x=1.11772568, -0.48679593

I think this is right, hope it helps!

Answer 2

`x= 1.117725689 , -0.486795935...`

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+√(2), 2-√(2) \\y=3^(x)\\x=log(y)/log(3)\\x=(log(2+√(2) ))/(log(3)) , (log(2-√(2)) )/(log(3)) \\\\x= 1.117725689 , -0.486795935...`