Solve for x 3^(2x)-3^(x+2)+8=0

Math
Rewrite as .
Rewrite as .
Substitute for .
Solve for .
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Simplify each term.
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Raise to the power of .
Multiply by .
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Substitute for in .
Solve .
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Rewrite the equation as .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand by moving outside the logarithm.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Substitute for in .
Solve .
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Rewrite the equation as .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand by moving outside the logarithm.
The natural logarithm of is .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
List the solutions that makes the equation true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 3^(2x)-3^(x+2)+8=0

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