Solve for x 3 log base 6 of 2+2 log base 6 of 3- log base 6 of x=2

Math
Simplify the left side.
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Simplify each term.
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Simplify by moving inside the logarithm.
Raise to the power of .
Simplify by moving inside the logarithm.
Raise to the power of .
Use the product property of logarithms, .
Use the quotient property of logarithms, .
Multiply by .
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Solve for
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Raise to the power of .
Rewrite the equation as .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Rewrite the equation 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 .
Divide by .
Solve for x 3 log base 6 of 2+2 log base 6 of 3- log base 6 of x=2

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