SOLUTION: {{{3^(2x+2)-18(3^x)+9=0}}}

SOLUTION: {{{3^(2x+2)-18(3^x)+9=0}}}

Algebra.Com

Question 43339:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3^(2x+2)-18(3^x)+9=0
(3^2x)(3^2) -18(3^x) +9=0
Factor out the "9" to get:
3^2x-2(3^x)+1=0
This is a quadratic equation.
Let w=3^x
You get:
w^2-2w+1=0
(w-1)^2=0
Therefore:
(3^x-1)^2=0
3^x=1
x=0
Cheers,
Stan H.
RELATED QUESTIONS
2(2x+3)+9=x+2x+18 (answered by checkley71)

2x^3-x^2-18x+9=0 (answered by stanbon)

2x^3 +x^2-12x+9... (answered by Edwin McCravy)

I need some help with parabolas. Can you please review my work and make suggestions... (answered by oscargut)

{{{x^3 + 2x^2 - 9x =... (answered by Edwin McCravy)

factor completely: 2x^2-12x+18 factor completely: 2x^2-9 factor completely:... (answered by stanbon)

2^2x+3... (answered by jsmallt9)

2^(2x+3) - 9*2^x +1 =... (answered by Alan3354)

(2x^4-11x^3=15x^2+6x-18) /... (answered by tommyt3rd)