Evaluate 9^(2x)*0.27^(3-x)=1/9

Math
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand the left side.
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Rewrite as .
Expand by moving outside the logarithm.
Expand by moving outside the logarithm.
Apply the distributive property.
Move .
Move all the terms containing a logarithm to the left side of the equation.
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Add to both sides of the equation.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
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 .
Simplify .
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Move the negative in front of the fraction.
Simplify terms.
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Combine the numerators over the common denominator.
Factor out of .
Factor out of .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate 9^(2x)*0.27^(3-x)=1/9

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