Question 420934: solve each equation or inequality.
3^2x-1=3^x+2
Answer by Gogonati(855)   (Show Source):
You can put this solution on YOUR website! Denote 3^x=y and our equation transformed: y^2-1=Y+2 or y^2-y-3=0, which is a quadratic equation. Solving it we have: y=(1+sqrt(13))/2, y=(1-sqrt(13))/2
Therefore: 3^x=(1+sqrt(13))/2 and 3^x=(1-sqrt(13))/2
xln3=ln(1+sqrt(13))/2 and xln3=ln(1-sqrt(13))/2
x=(ln(1+sqrt(13))/ln(9) and x=(ln(1-sqrt(13))/ln(9).
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