SOLUTION: {{{6^(2x)-42(6^x)+216=0}}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: {{{6^(2x)-42(6^x)+216=0}}}      Log On


   

Question 249796: 6%5E%282x%29-42%286%5Ex%29%2B216=0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
6%5E%282x%29-42%286%5Ex%29%2B216=0
---------------------------
This is a quadratic in 6^x. Sub y for 6^x to make it clearer:
y%5E2+-+42y+%2B+216+=+0
(y - 6)*(y - 36) = 0
y = 6, y = 36
--------------
Then sub back:
6^x = 6
x = 1
------
6^x = 36
x = 2