Practice!

Sample Problem

Solve e2x-15ex+36=0. Round your answers to three decimal places.

x= , (order from least to greatest)

Solution

0= e2x-15ex+36=(ex)2-15ex+36=(ex-12)(ex-3)

ex-12=0

ex=12

ln 12≈2.4849 =x

ex-3=0

ex=3

ln 3≈ 1.0986=x

x=1.099, 2.485