Find the area of the unshaded part in the figure below
2 answers:
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First thing to do is to switch the x and the y and then solve for the new y. Easier said than done! Here's our equation with the switch: 
. We need to get that y out from inside that exponent. This is an exponential equation, and the inverse of an exponential equation is a log equation. Let's do some simplifying here first: 
. The 2 is now the base of our log (x-6) so now we have 
, which is the last choice above.