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olga nikolaevna [1]
3 years ago
11

HELP!! Just need the answer to the question in the picture, please!

Mathematics
1 answer:
Olin [163]3 years ago
3 0
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: x=2 ^{y} +6.  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: x-6=2 ^{y}.  The 2 is now the base of our log (x-6) so now we have y=log _{2} (x-6), which is the last choice above.
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