SOLUTION: Okay can you show we how to solve the equation 3^(2x+1)-10*3^(x)+3=0 Please your help would be very appreciated cause i am doing an online class and do not have access to a teache

Question 635472: Okay can you show we how to solve the equation 3^(2x+1)-10*3^(x)+3=0
Please your help would be very appreciated cause i am doing an online class and do not have access to a teacher
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3^(2x+1)-10*3^(x)+3=0
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3^(2x)*3 - 10*3^(x) + 3 = 0
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Rearrange:
3*(3^x)^2 - 10(3^x) + 3 = 0
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Quadratic written in 3^x.
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Let w = 3^x.
Then:
3w^2 - 10w + 3 = 0
Factor:
(3w-1)(3w-3) = 0
3w = 1 or 3w = 3
w = 1/3 or w = 1
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Solve for "x":
3^x = 1/3 or 3^x = 1
x = -1 or x = 0
------------------
Cheers,
Stan H.
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