SOLUTION: Solve 3^2x=7(3^x)-12 and check for extraneous roots. I know this is a quadratic function. So everything to one side : 3^2x-7(3^x)+12 and applied the quadratic formula. my z

Question 693478: Solve 3^2x=7(3^x)-12 and check for extraneous roots.

I know this is a quadratic function. So everything to one side :
3^2x-7(3^x)+12 and applied the quadratic formula.
my zeros were x=4 or x=3, however the answers are 1, and 1.26. So I Don't know how to solve this.
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
You were very close to solving this.

This is quadratic in and not
so you can factorize (using the roots you stated)

so the solutions are and
or, by taking logs to base 10 and
giving x=1.26185... and x=1 as stated.
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