SOLUTION: Solve the equation (exact solution) by completing the following steps. Enter DNE in any empty blank(s). {{{ e^(6x) + 6e^(3x) - 27 = 0 }}} http://i.imgur.com/8hkl24Y.p

Algebra ->  Equations -> SOLUTION: Solve the equation (exact solution) by completing the following steps. Enter DNE in any empty blank(s). {{{ e^(6x) + 6e^(3x) - 27 = 0 }}} http://i.imgur.com/8hkl24Y.p      Log On


   

Question 916585: Solve the equation (exact solution) by completing the following steps. Enter DNE in any empty blank(s).
+e%5E%286x%29+%2B+6e%5E%283x%29++++-++++27+++=+++0+
http://i.imgur.com/8hkl24Y.png

Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
+e%5E%286x%29+%2B+6e%5E%283x%29++++-++++27+++=+++0+ Let a = e^(3x)
a^2 + 6a - 27 = 0
(a+9)(a-3) = 0 tossing out negative solution for e^3x
a = 3 , a+=+e%5E%283x%29
ln(3)/3 = x