SOLUTION: what is f^-1(x) of the equation f(x)=log base 3 (x+2) -5

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Question 1053388: what is f^-1(x) of the equation f(x)=log base 3 (x+2) -5
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll say +y+=+f%28x%29+
Swap +x+ and +y+ to get +%28f%5E%28-1%29%29%28x%29+
+y+=+log%28+3%2C+x%2B2+%29+-+5+
Convert +5+ into a log to the base 3
+x+=+log%28+3%2C+y%2B2+%29+-+log%28+3%2C+243+%29+
+x+=+log%28+3%2C+%28+y%2B2+%29%2F243+%29+
+3%5Ex+=+%28+y%2B2+%29%2F243+
+y+%2B+2+=+243%2A3%5Ex+
+y+=+3%5E5%2A3%5Ex+-+2+
+y+=+3%5E%28+x%2B5+%29+-+2+
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check my work & maybe get 2nd opinion