Solve for x log base 2 of 6x- log base 2 of square root of x=2

Math
Simplify the left side.
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Use the quotient property of logarithms, .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Cancel the common factor of .
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Cancel the common factor.
Divide 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 .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Simplify the left side of the equation.
Raise to the power of .
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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Raise to the power of .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x log base 2 of 6x- log base 2 of square root of x=2

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