How do you find the inverse of y= log_6 (x+2)?

1 Answer
Oct 13, 2016

x=6^y-2

Explanation:

Start with the basic equivalence:
color(white)("XXX")c=log_b a hArr a=b^c

Therefore
color(white)("XXX")y=log_6(x+2) hArr 6^y=x+2

From which it follows that
color(white)("XXX")6^y-2=x