SOLUTION: Solve the Equation. (x^3)(9^x) - 9^x =0

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the Equation. (x^3)(9^x) - 9^x =0      Log On


   

Question 691558: Solve the Equation.
(x^3)(9^x) - 9^x =0
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the Equation.
(x^3)(9^x) - 9^x =0
----
Factor:
(9^x)[x^3-1] = 0
---
9^x = 0 or x^3 -1 = 0
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Note: 9^x cannot be zero
----
x^3-1 can be factored to get:
(x-1)(x^2+x+1) = 0
x = 1 or you may find 2 complex
solutions to x^2+x+1 using the Quadratic Formula.
Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the Equation.
(x^3)(9^x) - 9^x =0

%28x%5E3%29%289%5Ex%29+-+9%5Ex+=+0

%28x%5E3%29%289%5Ex%29+=+9%5Ex+

%28x%5E3%29+=+%289%5Ex%29%2F%289%5Ex%29

x%5E3+=+1 ---- highlight_green%28x+=+1%29

You can do the check!!

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