Solve Indicial Equations with Step-by-Step Homework Help

[juliany]

Homework Statement

I'm just confused about a few little indicial equations.

1. 3^2x-36X3^x=-243
2.5(x+2)^2=80

The Attempt at a Solution

1.3^2x X 3^x=-207


2.5(x^2+4x+4)=80
5x^2+20x+20=80
5x^2+20x=60

Unsure what to do after both of them.

 

[rock.freak667]

For the first one...realize that 3^2x=(3^x)² and then put y=3^x

For the second one, even though you didn't really need to square out and expand, just factorize it. But since 5 is a common factor, divide by 5 first.