how do you find the inverse of g(x)=6^.5X

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Tony - You can find the inverse by swapping x and y values then solve for y. In your problem y = 6^.5x so swap and get: x = 6^.5y In order to solve for y, you will need to take the Ln of both sides and use the law of logs to "free up" y: Ln(x) = Ln(6^.5y) = (.5y) * Ln(6) Now just solve for y.  Hope that helps