Solve for x log base 5 of x+17- log base 5 of x-7=2

Math
Use the quotient property of logarithms, .
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.
Simplify .
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Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
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 log base 5 of x+17- log base 5 of x-7=2


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