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

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.Com

Question 916585: Solve the equation (exact solution) by completing the following steps. Enter DNE in any empty blank(s).

http://i.imgur.com/8hkl24Y.png

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