Find the Inverse f(x) = log base 6 of x-2

Math
Replace with .
Interchange the variables.
Solve for .
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Rewrite the equation as .
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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Rewrite the equation as .
Add to both sides of the equation.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Exponentiation and log are inverse functions.
Combine the opposite terms in .
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Add and .
Add and .
Since , is the inverse of .
Find the Inverse f(x) = log base 6 of x-2


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